Systems of Equations

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

Solve the system of equations: y = 2x + 1 and y = 4x - 1.

Back

(1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Determine if (4, 1) is a solution for the system of equations: y = -x + 5 and y = 2x - 7.

Back

Yes

Front

Solve the system: 5x + 3y = 7 and y = 4.

Back

(-1, 4)

Tags

CCSS.HSA.REI.C.9

Front

Solve the system: y = 3x - 13 and 2x + 4y = 4.

Back

(4, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have no points of intersection and no solution.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method in solving systems of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving systems of equations?

Back

It involves adding or subtracting equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The equations represent the same line.

Tags

CCSS.8.EE.C.8A