Solving pairs of linear equations in two variables

Solve the system of equations using substitution.

2x + y = 3 and 4x + 4y = 8

• Substitution. One equation is in slope intercept form. One equation is in standard form.

• Graphing. Both equations are in slope intercept form.

• Elimination. Both equations are in standard form.

• By placing a spell on the student next to you.

What is the solution to the system of equations: 5x + 2y = 7 and y = - 4x + 8?

• (-2, 3)

• (-1, 4)

• (3,-4)

• (1, 6)

Find the two numbers that satisfy both equations

__ * __ = -40

__ + __ = 3

• 8

• 5

• -5

• -8

Solve the system using substitution method.

x = 6y

6x - 4y = 160

• (30, 5)

• (30, -5)

• (-30, 5)

• (-30, -5)

• (-4, 1)

• (1, -4)

• (4, 1)

• (1, 4)

What is the best method for solving this system of linear equations?

 $x+y=5$  
 $2x-y=4$  

• Graphing

• Substitution

• Elimination

Solve this system.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Question 1: Solve the following pair of linear equations using the substitution method: 2x + 3y = 11 and 4x - y = 7

• x = 0, y = 4

• x = 3, y = 5

• x = 2, y = 1

• x = 1, y = 3