Solving Systems of Equations

Solving Systems of Equations

Ms. Sloan

Multiple Select

We can solve systems of equations by....

• Quadratic Formula

• Substitution

• Graphing

• Elimination

Open Ended

Solving Linear Systems by Substitution. If you graph a linear system, what would you expect to see on the graph?

Multiple Select

What methods may we use to solve a system of linear equations?

• Graphing the lines

• Desmos

• Quadratic Formula

• Substitution

Systems of Equations - Substitution

Let's practice solving a system of equations using the Methods we've learned this week.

Fill in the Blank

Solve this system of equations for x.

-3x + 4y = 29

y = 2x + 11

Multiple Choice

Solve this system of equations for y.

-3x + 4y = 29

y = 2x + 11

• y = 2

• y = 4

• y = 5

• y = 6

Fill in the Blank

Solve this system of equations for x.

-3x + 4y = 29

y = 2x + 11

Multiple Choice

Use Substitution to solve the system:

x = 2y - 9

2x + 3y = 17

• (1,2)

• (1,5)

• (5,1)

• (2,1)

Multiple Choice

Use Substitution to solve the system

3y-8 = x

3x - 4y = -9

• (1,3)

• (3,1)

• (2,5)

• (1,5)

Multiple Choice

Solve this system of equations for y.

-3x + 4y = 29

y = 2x + 11

• y = 2

• y = 4

• y = 5

• y = 6

Multiple Choice

Use Substitution to solve the system.

x - 3y = -17

5x +3y = -13

• (5,4)

• (4,5)

• (4,-5)

• (-5,4)

Multiple Choice

Use Substitution to solve the system:

x = 2y - 9

2x + 3y = 17

• (1,2)

• (1,5)

• (5,1)

• (2,1)

Multiple Choice

Use Substitution to solve the system

3y-8 = x

3x - 4y = -9

• (1,3)

• (3,1)

• (2,5)

• (1,5)

Open Ended

Solve the following system of equations using all of the methods we learned today:

$$y=-3x+5$$   $$5x-4y=-3$$   What did you get for your solution, if any?

Multiple Choice

Use Substitution to solve the system.

x - 3y = -17

5x +3y = -13

• (5,4)

• (4,5)

• (4,-5)

• (-5,4)

Poll

For solving systems of linear equations, which method do you prefer?

• Graphing the lines

• Substitution

• Elimination

• Desmos