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)

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

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