Substitution and Graphing

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

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

Which equation is set up correctly if you were to solve this system by substitution?

• x - 3y - 8 - 2y = -3

• -3y - 8 = x - 2y

• -3y - 8 - 2y = -3

• x - 2(-3y - 8) = -3

Which equation would you use if you were to solve this system by substitution?

• 7x + 3x +10 = - 20

• 7(3x + 10) + y = - 20

• 7x + y = 3x + 10

• 7x + y = - 20 + 3x + 10

Which equation is set up correctly if you were to solve this system by substitution?

• x = 2

• x + 2y = -4y + 2

• x + 2(-4y + 2) = 2

• -4y + 2 + 2y = 2

y = -2x + 18
y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

What is the solution to this system? 

• (3,1)

• No solution

• Infinite solutions

• (1,3)

What is the first step in graphing a system of equations?

• Identify the equations and their variables.

• Determine the slope of each equation.

• Solve the equations simultaneously.

• Plot the points of intersection.

Solve the following system of equations using the substitution method: 2x + y = 7,
3x - 2y = 4

• x = 18/7 and y = -4/7

• x = 2/7 and y = 3/4

• x = -18/7 and y = 4/7

• x = 7/2 and y = 4/3

Graph the following system of equations:

y = 2x + 3,
y = -x + 1

• (2, 7)

• (0, 3)

• (4, 9)

• (-1, 1)