SoE- Substitution & Elimination

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one of the equations for one variable and then substituting that expression into the other equation to find the values of both variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 9x - 4y = 7 and x - 4y = -17.

Back

(3, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve for x and y using substitution: 3x + 2y = 16 and y = -7x + 19.

Back

(2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve for x and y using substitution: y = 2x + 1 and y = 4x - 1.

Back

(1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, and thus every point on that line is a solution.

Tags

CCSS.8.EE.C.8A

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

Front

Solve the system using substitution: y = 2x + 1 and y = 4x - 1.

Back

(1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: -8x - 10y = 20 and -8x - 6y = -4.

Back

(5, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6