Systems of Equations (Substitution)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does substitution mean in the context of systems of equations?

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable. 4. Substitute back to find the first variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: x = 3 and x + y = 10?

Back

(3, 7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: 2x - 10 = -4x + 8?

Back

x = 3, y = 4 (solution is (3, 4))

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the correct substitution for the system of equations: y = 2x + 3 and y = -x + 1?

Back

2x + 3 = -x + 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: 3x + 2y = 6 and x - y = 1?

Back

(2, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6