Solving Systems by Graphing and Substitution Make Up

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

These two lines intersect at _____.

• (4, -2)
• (4, 2)
• (-2, 4) 
• No solution

Solve the following system by graphing.  What is the solution?

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Solve the system by substitution. 
-5x - 4y = -9
y = 6

• (3, 6)
• (6, -3)
• (-3, 6)
• (6.8, 3)

Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4

• (1, 7)
• (7, 1)
• (2, 9)
• (-1, 3)

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Solve this system of equations by substitution.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)