Systems of Equations by Substitution Review Lesson: 5 Slides

5 Slides • 8 Questions

1

Systems of Equations Review

Solving systems through graphing, substitution, and elimination (add/subtract)

2

Solving Systems Graphically

$y=\frac{1}{3}x\ -\ 3$

y=-x+1

3

Solving Systems Graphically

$y=-5$

x=2

4

Multiple Choice

What type of solution to at system of equations is shown in the graph?

1

one solution

2

no solution

3

infinitely many solutions

5

Multiple Choice

^{What is the solution?}

1

2

-2

3

(1, 2)

4

(1, -1)

6

Multiple Choice

The system shown is

1

y = -2x + 1

y = x - 1

2

y = 2x + 1

y = -x - 1

3

y = 2x - 1

y = -x + 1

4

y = -2x - 1

y = x + 1

7

Solving Systems using Substitution

$y=6x-11$
$-2x-3y=-7$

$-5x+y=-2$
$-3x+6y=-12$

8

Multiple Choice

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

1

No solution

2

(1, 2)

3

(3, 0)

4

(2, 1)

9

Multiple Choice

Solve the system of equations.

1

(10, 3)

2

(6, 3)

3

(15, 3)

4

No solution

5

Infinite Solution

10

Multiple Choice

Solve:
y=8x+1
y=6x+3

1

(1, 9)

2

(4, 14)

3

(0, 1)

4

(2, 4)

11

Solving systems using elimination

$2x+y=19$

$x-y=11$

$-6x+6y=6$

-6x+3y=-12

12

Multiple Choice

Solve for x and solve for y

3x - 3y = 33

6x - 3y = 57

1

(8,-3)

2

(-3,8)

3

(10,1)

4

(10,-1)

13

Multiple Choice

Solve for x and solve for y
3x - 3y = 33
6x - 3y = 57

1

(8,-3)

2

(-3,8)

3

(10,1)

4

(10,-1)

Systems of Equations Review

Solving systems through graphing, substitution, and elimination (add/subtract)

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