Solving Linear Systems (2025)

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Tags

CCSS.8.EE.C.8B

What is a solution of a linear system?

• the slope of the line

• the y-intercept

• the point where the lines intersect

• the rise over tun

Tags

CCSS.8.EE.C.8B

Solve the system of equations.

y = 4x+1

3x + 2y = 13

What is the Y-VALUE of the solution?

y = ___

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of x?

7x - y = -10

-7x + 5y = -6

x = ___

Tags

CCSS.HSA.REI.C.9

What is the value of y?

3x + 2y = 16

7x + y = 19

y = ___

Tags

CCSS.HSA.REI.C.9

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• perpendicular lines

• same lines

Tags

CCSS.8.EE.C.8A

What is the solution of the system?
8x + 4y = 12
y = -2x + 3

• (0, 3)

• (3, 0)

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

If a system of linear equations has one solution, what does this mean about the two lines?

• The lines intersect.

• It is the same line.

• The lines are parallel.

Tags

CCSS.8.EE.C.8A

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 has a variable isolated.

• Make sure both equations are in slope-intercept form.

• Make sure both equations can be solved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6