Solving Systems of Linear Equations: Substitution: Quiz

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x - 5 2y - 4x =

A. -10

What is the solution to the system of equations? y = -3x - 2 5x + 2y = 15

B. (-19, 55)

What is the solution to the system of equations? y = 2/3x + 3 x = -2

B. (-2, 5/3)

y=-5x + 30 x=10 What is the solution to the system of equations?

B. (10, -20)

Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below. x - y = 7 3x - 2y = 8 Step 1: x = y + 7 Step 2: 3(y + 7) - 2y = 8 Step 3: 3y + 7 - 2y = 8 Step 4: y + 7 = 8 Step 5: y = 1 In which step did Ernesto make the first error?

C. Step Three

The tables represent two linear functions in a system. What is the solution to this system?

D. (-14, -54)

What is the solution to the system of equations? y = 1.5x - 4 y = -x

D. (1.6, -1.6)

The tables represent two linear functions in a system. What is the solution to this system?

D. (8, -22)

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x + 4 6x + 3y =

D. 12

The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars. Company A: y=0.75xCompany B: y=10+0.50x How many bars would the team need to purchase from each company in order for the total cost to be equal?

D. 40