Solve Using Substitution

Find the solution to the system of equations using substitution method: 2x - 3y = -15, y = 4x - 5

• x = 5, y = 2

• x = 2, y = 6

• x = 4, y = 3

• x = 3, y = 7

Determine the values of x and y by using substitution method for the system of equations: 6x + 2y = 44, y = 3x - 2

• x = 8, y = 20

• x = 5, y = 12

• x = 2, y = 6

• x = 4, y = 10

10. Solve the following system of equations using substitution method: 3x + 2y = 29, y = 2x - 3

• x = 2, y = 5

• x = 6, y = 8

• x = 5, y = 7

• x = 3, y = 4

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

• 2(-3x - 17) + 3x = -7

• 2x + 3(-3x - 17) = -7

• 2(-3y - 17) + 3y = -7

• 2(3y + 17) + 3y = -7

What is the SECOND STEP in solving this system by substitution? y = -1x - 5 4x - 8y = 4 First step: 4x - 8(-1x - 5) = 4

• 4x - 8x - 40 = 4

• 4x + 8x + 40 = 4

• 4x + 8x - 40 = 4

• 4x - 8x + 40 = 4

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself

• add the equations together

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

• y = 4(3y - 5) - 10

• y = 3(4x - 10) - 5

• 4x - 10 = 3x - 5

• y = y

What is the SECOND STEP in solving this system.

x= 7 - 2y

2x + y = 5

FIRST STEP: 2(7 - 2y) + y = 5

• 14 - 2y + y = 5

• 14 - 4y + y = 5

• 14 + 4y + y = 5

• 14 + 2y + y = 5

Solve this system using substitution:
3x + 4y = 15
y = 3

• (3, 1)

• (4, 3)

• (3, 4)

• (1, 3)

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)