TL Quiz: Solving Systems

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

What is the Solution to this system?

• (2,-2)
• (0, 0)

• Infinite Solutions

• No Solution

• 2x + 6(-5x) = -3

• 2x - 5x = -3

• y + 6(-5y) =-3

• 2(-5x) + 6y = -3

What would be the first step in finding the solution with elimination using addition?

4x + 3y = 1

x - 3y = -11

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation.

• add 1 and -11

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1
• -1
• 3
• 4

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

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

What do you have to multiply the first equation by to have the x's be eliminated by adding?

• 3

• 2

• -2

• -3

Solve the system of equations:

x + 4y = –3

 x + 7y = –12 

• (-3,9)

• (9,-3)

• (3,9)

• (9,3)

8x + 14y = 4
-6x - 7y = -10

• (4, -2)

• (-2, 4)

• (0, 3)

• (4, 2)