Substitution systems

Front

What is a substitution system in mathematics?

Back

A substitution system is a method for solving systems of equations by expressing one variable in terms of another and substituting that expression into another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.

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

The first step is to solve one of the equations for one variable in terms of the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given the equations: y = 3x and 12x - 4y = 20, what is the solution?

Back

no solutions

Tags

CCSS.8.EE.C.8B

Front

Given the equations: y = 2x + 4 and 3x - y = 6, what is the solution?

Back

(6, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: y = x + 3 and 2x + y = 10?

Back

(1, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you check if a solution is correct for a system of equations?

Back

Substitute the values of the solution into each equation to see if they hold true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system: -7x - 2y = -13 and x = 2y + 11?

Back

(3, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given the equations: x = -2y and 3x + 4y = -8, what is the solution?

Back

(-8, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A