Systems - Substitution Practice

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

• 2x-3y=-11

• 2x+y=9

If I solve 2x+y=9 for y, what is the result?

• 2x=3y-11

• 2x=9-y

• y=9-2x

• x=18+2y

• 2x-3(9-2x)=-11

• 2x+(9-2x)=9

• 2(9-2x)-3y=-11

• 2(9-2x)+y=9

Solve the system of equations using substitution:
x = -1
y = 3x + 2

• (1, 1)
• (2, -1)
• (-1, -1)
• (-1, 2)

Which variable should you isolate first in the system?

3x + 2y = 10

x - 5y = 18

• The x in the first equation

• The y in the first equation

• The y in the second equation

• The x in the second equation

Use the system of equations below to answer the question.

After substituting the first equation into the second one and working it out, I got x = 1. What should I do next?

y = 6x

2x + 5y = 32

• Fill in 1 for x in y = 6x

• Fill in 1 for y in y = 6x

• Fill in 1 for y in 2x + 5y = 32

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)