Systems of Equations - Substitution Review

What equation results from substituting  $y=2x+4$  into  $x+y=10$  

•  $x+2x+4=10$  

•  $5x+4=10$  

•  $2x+4=x+y$  

•  $x+y+2x+4=10$  

Write the new equation to solve after using the substitution process correctly for the system.

y = 5x - 7

-3x - 2y= -12

• -3(5x - 7) - 2y= -12

• -3x - 2(5x-7) = -12

• -3x -2y = 12(5x-7)

Write the new equation to solve after using the substitution process correctly for the system.

y = x - 1

2x - 3y= -1

• 2(x-1) - 3y= -1

• 2x - 3(x-1) = -1

• 2x -3y = 12(x-1)

What is the first step to solving this system of equations by substitution?

x = -3y - 17

2x + 3y = -7

• 2(-3x - 17) + 3x = -7

• 2x + 3(-3x - 17) = -7

• 2(-3y - 17) + 3y = -7

• 2(3y + 17) + 3y = -7

What is the first step to solving this system by substitution?

y = 4x - 10

y = 3x - 5

• y = 4(3y - 5) - 10

• y = 3(4x - 10) - 5

• 4x - 10 = 3x - 5

• y = y

Which equation is correctly using substitution for the system shown?

y = x + 6

y = -2x − 3

• x + 6 = -2x − 3

• y = x + 6 − 2x − 3

Write the new equation to solve after using the substitution process correctly for the system.

y = x - 1

2x - 3y= -1

• 2(x-1) - 3y= -1

• 2x - 3(x-1) = -1

• 2x -3y = 12(x-1)

Which is the correct form of substitution?

• 3x - 8(5x-3)= - 3

• 3(5x-3)-8y = -3

• 3x - 8y = -3(5x-3)