Solving pairs of linear equations in two variables

 $y=-7x-4$  

 $y=-x+2$  

Solve the system of equations

•  $\left(-1,3\right)$  

•  $\left(3,-1\right)$  

•  $\left(1,3\right)$  

•  $\left(3,1\right)$  

Solve the system using any method.  y = -4x + 5 y =  3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

x+4y=2

2x-y=14

what is the solution?

• (6,-1)

• (3,5)

• (2,9)

• (1,9)

Given this system of equations:

200A + 150B = 1000

25A +50B = 2500

Where would you like to start?

• Solve for A in the first equation

• Solve for A in the second equation

• Solve for B in the first equation

• Solve for B in the first equation

Solve using substitution

x = -2

x + y = -5

• (-2,-3)

• (-3,-2)

Solve this system:
 $y=4x+5$  
 $2x+3y=43$  

• (3,17)

• parallel; no solution

• (2,8)

• (2,13)

Solve the system of equations by substitution

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• (2, 0.25)

Find the two numbers that satisfy both equations

__ * __ = 21

__ + __ = 10

• 7

• 2

• 10

• 3

 $3x+2y=0$  
 $x-5y=17$  

•  $x=2,\ y=-3$  

•  $x=6,\ y=-3$  

•  $x=3,\ y=2$  

•  $x=0,\ y=1$  

A system of equations is shown.

y = –5x – 2

y = 3x – 4

What is the solution to the system of equations?

• (¹/₄, -¹³/₄)

• (¹/₄, -³/₄)

• (4,-22)

• (4,8)