Exam 4: Systems of Linear Equations

Solve the system by eliminating the variable.

Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve. If the system is dependent or inconsistent , or if there is no solution , indicate this.

Two numbers have a sum of One number is more than the other. Find the numbers.

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.

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 .

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

Mary Jo spends $1,450 to buy stock in two companies. She pays $11 a share to one of the companies and $17 a share to the other. If she ends up with a total of 110 shares, how many shares did she buy at $11 a share and how many did she buy at $17 a share?

Kelly sells 78 shares of stock she owns for a total of $465. If the stock was in two different companies, one selling at $5.50 a share and the other at $6.25 a share, how many of each did she sell? __________ shares at $5.50 __________ shares at $6.25

Solve the system by eliminating the variable.

Solve the system of linear equations by graphing.

The sum of two numbers is One number is times the other. Find the numbers.

A mixture of 9% disinfectant solution is to be made from 15% and 8% disinfectant solutions. How much of each solution should be used if 70 gallons of 9% solution are needed?

One number is more than times another. Their sum is Find the two numbers.

Solve the system using the substitution method. If the system is dependent or inconsistent , or if there is no solution , indicate this.

Solve the system of linear equations by graphing.

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

Solve the system using the substitution method. If the system is dependent or inconsistent , or if there is no solution , indicate this.

Jane is deciding between two sales positions. She can work for Marcy s and receive per hour or for Gigi s, where she earns per hour but also receives a commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs. From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than hours a week, which job should she choose - Gigi s or Marcy s? __________ If Jane expects to work more than hours a week, which job should she choose - Gigi s or Marcy s? __________

Solve the system using the substitution method. If the system is dependent or inconsistent , or if there is no solution , indicate this.

Solve the system using the substitution method. If the system is dependent or inconsistent , or if there is no solution , indicate this.