Solving Systems by Substitution (easy)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression derived from another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving a system by substitution?

Back

Isolate one variable in one of the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

If y = 2x + 1, what is y when x = 3?

Back

y = 2(3) + 1 = 7.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if a system has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system has infinitely many solutions?

Back

The equations represent the same line, so every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

Given the equations y = 3x + 2 and y = 3x - 1, what is the solution?

Back

No Solution (the lines are parallel).

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system: x + y = 5 and y = 2?

Back

(3, 2).

Front

How do you check if your solution to a system is correct?

Back

Substitute the solution back into the original equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6