Steps to Solve a System of Equations

y = -2x + 18
y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

• Infinite number of solutions

• (0, 7)

• (-5, -7)

• (5, 7)

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form

• Get x by itself

• Compare the slopes of both equations

• Write both equations in standard form

y = -6x + 5
-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

Solve the system to find y:

x + 6y = 17

-x + 3y = -8

• y = 2

• y = 1

• y = 11

• no solution

Julie is asked to solve the system below by elimination. Which of the following steps would be the BEST way to begin?

• 
• 
• 
• 

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

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

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

Solve the system using elimination.
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)