Solve Linear Systems by Substitution

Presentation

•

Mathematics

•

9th Grade

•

Hard

Joseph Anderson

FREE Resource

4 Slides • 6 Questions

Multiple Choice

Do you have your phone in the box, notebook out, and ready to take notes?

(you will need to take a picture and upload it at the end)

YES I have my notebook out

No, I know it means a bad grade

Solving Systems by Substitution

Objective: Solve systems of equations by substitution

Math Response

Solve: 3x - 7(x - 4) = 24

Type answer here

Deg^°

Rad

It is simply two or more equations.

On the graph is ...

y = 2x + 1

y = -x + 7

To solve a system, you find the point where the lines intersect.

On this graph it is (2,5)

(more of the next slide)

SYSTEMS OF EQUATIONS (review)

The SOLUTION (2,5) makes each equation true.

Plug in to each equation.

y = 2x + 1

5 = 2(2) + 1

5 = 4 + 1

5 = 5

y = -x + 7

5 = -2 + 7

5 = 5

EXAMPLE

Solve the system: 2x - 3y = -1 and y = x - 1

Multiple Choice

When solving the system below, what would the second equation look like after you substitute 4x - 11 for y.

$y=4x-11$ and $-4x+3y=-1$

-4x + 3(4x - 11) = -1

-4(4x - 11) + 3y = -1

-4x + 3y = 4x - 11

Math Response

The Next Step, solve for x: $-4x+3\left(4x-11\right)=-1$

Type answer here

Deg^°

Rad

Multiple Choice

Given what we have done so far, solve the following system:

$y=4x-11$ and $-4x+3y=-1$

$\left(4,-5\right)$

$\left(-4,\ 5\right)$

$\left(4,5\right)$

$\left(5,4\right)$

$\left(-5,4\right)$

Fill in the Blanks

Type answer...

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(you will need to take a picture and upload it at the end)

YES I have my notebook out

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Solve Linear Systems by Substitution

Solving Systems by Substitution

​SYSTEMS OF EQUATIONS (review)

The SOLUTION (2,5) makes each equation true.

​EXAMPLE

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

SYSTEMS OF EQUATIONS (review)

EXAMPLE