Systems of Equations Review

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• Yes

• No

Determine if the point (3, 4) is a solution to the system of equations

x+ 3y = 9

2x+ y = −2

• Yes

• No

Determine if the point (5, 2) is a solution to the system of equations

y= 3x -13

2x +4y =4

• Yes

• No

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

• run off the graph

• cross the x-axis

• intersect

• cross the y-axis

What is the solution to the system?

• (0, 2)

• (3, 1)

• (1, 3)

• (0, 4)

What is the proper way to set up the equation to begin solving if using the substitution method?

y = 6x − 11

−2x − 3y = −7

• -2(-11) -3y= -7

• -2(6x-11) -3y = -7

• -2x -3(6x) = -7

• -2x - 3(6x-11)= -7

If solving by elimination, what terms would be the BEST to eliminate?

4x + 8y = 20

−4x + 2y = −30

• The x-terms because they both have a coefficient of 4 or -4

• The y-terms because they are both positive

Solve the system:

5x + 3y = 7

y = 4

• (4, -1)

• (-4, 1)

• ( -1, 4)

• (1, -4)

Solve the system:

3x - y = 7

2x + y = 3

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)

Solve the system of equations

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (1,-3)