Solve Systems of Equations by Substitution (8th)

Solve the following system of equations. What is the point of intersection of the two lines?

y = 2x - 2 and y = 4

• (-3, 4)

• (3, 4)

• (4, 3)

• (4, -3)

Solve the following system of equations. What is the point of intersection of the two lines?

y = 2x and y = -x + 6

• (2, 4)

• (6, 12)

• (3, 6)

• (-2, 4)

Solve the following system of

equations. What is the point of intersection of the two lines?

y = x + 9 and 4x + 7y = 19

• (-4, 5)

• (4, 13)

• (4, -5)

• (5, -4)

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)
• (1, -2)
• (-2, 1)
• (-1, -2)

How many solutions does the graph have?

• One solution

• No solution

• Infinite 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

Diego scores 11 more points than Travis.  Together they score 21 points.  How many points did each person score?

• Diego: 11,   Travis: 10
• Diego:  10,  Travis:  11
• Diego: 5,  Travis:  16
• Diego:  16, Travis:  5

Solve the system by using the substitution method

Bobby and Robby are cousins. The sum of their ages is 66. Robby's age is 6 more than three times Bobby's. What are their ages?

• Bobby is 16 and Robby is 50

• Bobby is 22 and Robby is 44

• Bobby is 15 and Robby is 51

• Bobby is 17 and Robby is 39

What is the
slope-intercept form
of the equation
-8x+2y=4

• none
• y=2-4x
• y=4x+2
• y=4x-8y