Solving Systems of Equations with Substitution

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)
• (-7 ,5)
• (3, 15)
• (9, 6)

Solve by Substitution:

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

What does
"solution to a system of equations"
mean?

• It's the point where both equations equal zero
• It's the point where graphs of both equations cross the y-axis
• It's the point that solves both equations at the same time
• It's the point where graphs of both equations cross the x-axis

Solve the system:
3x + y = 19
2x - y = 6

• (5, 14)
• (4, 5)
• (5, 4)
• (14, 5)

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)
• (11, 1)
• (1, 11)
• no solution

Solve this system of equations for x.

-3x + 4y = 29

y = 2x + 11

(a)  

Solve this system of equations for y.

-3x + 4y = 29

y = 2x + 11

• y = 2

• y = 4

• y = 5

• y = 6

Use Substitution to solve the system.

x - 3y = -17

5x +3y = -13

• (5,4)

• (4,5)

• (4,-5)

• (-5,4)