Solving Systems of Equations by Substitution

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations by substitution?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Tags

CCSS.7.EE.B.4A

Front

What is the substitution method?

Back

A method for solving systems of equations where one equation is solved for one variable, and that expression is substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given the equations 4x + 2y = 12 and y = 3x - 14, find the solution using substitution.

Back

(4, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given the equations y = 5x + 7 and 8x - 8y = -24, find the solution using substitution.

Back

(4, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given the equations y = -4x + 17 and y = -5x + 23, find the solution using substitution.

Back

(6, -7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given the equations y = 8x + 9 and 2x + 6y = 8, find the solution using substitution.

Back

(-1, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given the equations y = -6x - 2 and y = 4x - 12, find the solution using substitution.

Back

(1, -8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is an infinite solution in a system of equations?

Back

When two equations represent the same line, resulting in an infinite number of solutions.

Tags

CCSS.8.EE.C.8B