Exam 4: Systems of Linear Equations

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Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve. Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

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Solve the system by eliminating the Solve the system by eliminating the   variable.   If the system is dependent or inconsistent , indicate this. variable. Solve the system by eliminating the   variable.   If the system is dependent or inconsistent , indicate this. If the system is dependent or inconsistent , indicate this.

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Solve the system by eliminating the Solve the system by eliminating the   variable.   If the system is dependent or inconsistent , indicate this. variable. Solve the system by eliminating the   variable.   If the system is dependent or inconsistent , indicate this. If the system is dependent or inconsistent , indicate this.

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Kelly sells 70 shares of stock she owns for a total of $480. If the stock was in two different companies, one selling at $4.50 a share and the other at $8.25 a share, how many of each did she sell?

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Solve the system of linear equations by the elimination method. Solve the system of linear equations by the elimination method.   If the system is dependent or inconsistent , indicate this. If the system is dependent or inconsistent , indicate this.

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Solve the system by solving one of the equations for Solve the system by solving one of the equations for   or   and then use the substitution method.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . or Solve the system by solving one of the equations for   or   and then use the substitution method.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . and then use the substitution method. Solve the system by solving one of the equations for   or   and then use the substitution method.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

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Solve the system by solving one of the equations for x or y and then use the substitution method. Solve the system by solving one of the equations for x or y and then use the substitution method.   If the system is dependent or inconsistent , or if there is no solution , indicate this. If the system is dependent or inconsistent , or if there is no solution , indicate this.

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If a If a   -inch rope is to be cut into two pieces so that one piece is   inches longer than twice the other, how long is each piece? -inch rope is to be cut into two pieces so that one piece is If a   -inch rope is to be cut into two pieces so that one piece is   inches longer than twice the other, how long is each piece? inches longer than twice the other, how long is each piece?

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Solve the system by eliminating the Solve the system by eliminating the   variable.   If the system is dependent or inconsistent , indicate this. variable. Solve the system by eliminating the   variable.   If the system is dependent or inconsistent , indicate this. If the system is dependent or inconsistent , indicate this.

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Solve the system by solving one of the equations for Solve the system by solving one of the equations for   or   and then use the substitution method.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . or Solve the system by solving one of the equations for   or   and then use the substitution method.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . and then use the substitution method. Solve the system by solving one of the equations for   or   and then use the substitution method.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

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Solve the system of linear equations by graphing. Solve the system of linear equations by graphing.

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A woman invested A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? times as much at A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? as she did at A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? The total amount of interest she earns in A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? year from both accounts is A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? How much did she invest at each rate?

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Solve the system of linear equations by graphing. Solve the system of linear equations by graphing.

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Solve the system of linear equations by the elimination method. Solve the system of linear equations by the elimination method.

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Solve the system by solving one of the equations for x or y and then use the substitution method. Solve the system by solving one of the equations for x or y and then use the substitution method.   If the system is dependent or inconsistent , or if there is no solution , indicate this. If the system is dependent or inconsistent , or if there is no solution , indicate this.

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Solve the system using the substitution method. Solve the system using the substitution method.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution . If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

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The difference of two numbers is The difference of two numbers is   Their sum is   Find the two numbers. Their sum is The difference of two numbers is   Their sum is   Find the two numbers. Find the two numbers.

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Solve the system by eliminating the Solve the system by eliminating the   variable.   If the system is dependent or inconsistent , indicate this. variable. Solve the system by eliminating the   variable.   If the system is dependent or inconsistent , indicate this. If the system is dependent or inconsistent , indicate this.

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Solve the system by solving one of the equations for Solve the system by solving one of the equations for   or   and then use the substitution method.   If the system is dependent or inconsistent , or if there is no solution , indicate this. or Solve the system by solving one of the equations for   or   and then use the substitution method.   If the system is dependent or inconsistent , or if there is no solution , indicate this. and then use the substitution method. Solve the system by solving one of the equations for   or   and then use the substitution method.   If the system is dependent or inconsistent , or if there is no solution , indicate this. If the system is dependent or inconsistent , or if there is no solution , indicate this.

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A woman invested A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? $__________   $__________  times as much at A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? $__________   $__________  as she did at A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? $__________   $__________  The total amount of interest she earns in A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? $__________   $__________  year from both accounts is A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? $__________   $__________  How much did she invest at each rate? $__________ A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? $__________   $__________  $__________ A woman invested   times as much at   as she did at   The total amount of interest she earns in   year from both accounts is   How much did she invest at each rate? $__________   $__________

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