Systems of Equations: Substitution Method

Front

What is the solution (x, y) to a system of equations?

Back

The point where the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

Is the point (2, -1) a solution to the system of equations y=5x+3 and y=-2x-4?

Back

No

Front

Solve by Substitution: y=3x+14 and y=-4x. What is the solution?

Back

(-2, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by Substitution: x = -3y - 17 and 2x + 3y = -7. What is the solution?

Back

(10, -9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations using substitution: y = 3x - 8 and y = 4 - x. What is the solution?

Back

(3, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the substitution method involve when solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving a system of equations using substitution?

Back

Solve one of the equations for one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

When is a system of equations considered inconsistent?

Back

When there is no solution, meaning the lines are parallel.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two equations in a system are dependent?

Back

They represent the same line and have infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

How can you check if a solution (x, y) is correct for a system of equations?

Back

Substitute x and y into both equations to see if they hold true.