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(Answer) MATH114N – Week 4 Assignment: Solving Systems of Linear Equations by Substitution

QUESTIONS

Question 1

Solve the following system of equations.

{x = −4y + 6

{2x + 3y =−3

Enter the solution as an ordered pair (x,y). Include parentheses in your answer.

Question 2

Solve the following system of equations.

{x= −y −9

{5x−6y=−1

Write your answer as an ordered pair in the form (x,y).

Question 3

Amara currently sells televisions for company A at a salary of $17,000 plus a $100 commission for each television she sells. Company B offers her a position with a salary of $29,000 plus a $20 commission for each television she sells. How many televisions would Amara need to sell for the options to be equal?

Question 4

The measure of one of the small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles.

Question 5

Solve the following system of equations.

{x=−3y−75x+6y=−8

Write your answer as an ordered pair in the form (x,y).

Question

Solve the following system of equations.

{x= 2y + 8

{3x−2y=0

Write your answer as an ordered pair in the form (x,y).

Question 7

Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour. Solve the system

{56s = 70t

{s = t + 1/2

for t to find the value of s, the number of hours Stephanie will have driven before Tina catches up to her.

Question 8

The perimeter of a rectangle is 212. The length is 16 more than 5 times the width. Find the dimensions.

ANSWERS:

Question 1

Solve the following system of equations.

{x = −4y + 6

{2x + 3y =−3

Enter the solution as an ordered pair (x,y). Include parentheses in your answer.

Answer: (−6, 3)​

Question 2

Solve the following system of equations.

{x= −y −9

{5x−6y=−1

Write your answer as an ordered pair in the form (x,y).

Answer: (−5, −4)​

Question 3….

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