Substitution Method

Presentation

•

Mathematics

•

9th Grade

•

Medium

•

CCSS

8.EE.C.8B, HSA.REI.C.6

Standards-aligned

Chris Cutshall

Used 7+ times

FREE Resource

4 Slides • 8 Questions

Substitution Method

A system of equations is two or more equations with the same variables.

One method to solve a system of equations is called the substitution method.

Since y = x - 4, we can substitute x - 4 into the other equation for y.

Then it is easy to solve for x. Once you have the x value of 7, substitute that into either original equation to solve for y. The final answer is x = 7 and y = 3.

Example

Multiple Choice

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

Multiple Choice

Solve using Substitution

(3,8)

(8,3)

(0,2)

(2,0)

Multiple Choice

Solve the system by substitution.

y = 2x − 11

2x − 8y = 4

(6, 1)

(6, −4)

(6, −1)

Infinite number of solutions

No Solution

Multiple Choice

Solve:

x = -3y - 17

2x + 3y = -7

(1, -2)

(3, 0)

(-5, -2)

(10 , -9)

(10, 2)

Multiple Choice

Solve the system of equations using substitution:

4x - 2y = 6

y = 3x - 3

(3, 6)

(0, 1)

(0, -3)

(2, 3)

No solution

Multiple Choice

What is the solution to the system of equations?

y = 3x - 8

y = 4 - x

(3, 1)

(1, 3)

(-3, 1)

(3, -1)

Multiple Choice

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

(-3, -25)

(3,-7)

(11, 17)

(21, 47)

Multiple Choice

Determine if the system has one solution, infinitely many solutions, or no solution after using the substitution method.

One Solution

Infinitely Many Solutions

No Solution

Substitution Method

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