Solving Systems of Equations (ALL 3 Methods!)

Front

What does it mean if you get a result like 6 = 6 when solving a system of equations?

Back

Infinitely Many Solutions

Front

What is the solution to the system of equations: y = 4x + 1 and 3x + 2y = 13?

Back

(1, 5)

Front

Which method is used when one equation is isolated like y = 2x?

Back

Substitution

Front

What is the solution to the system of equations: 2x + 3y = 12 and x - y = 1?

Back

(3, 2)

Front

What does it mean if you get a result like 5 = 3 when solving a system of equations?

Back

No Solution

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate a variable.

Front

What is the solution to the system of equations: x + y = 4 and x - y = 2?

Back

(3, 1)

Front

What is the graphing method in solving systems of equations?

Back

A method where you graph both equations and find the intersection point.

Front

What is the solution to the system of equations: 3x + 4y = 10 and 6x + 8y = 20?

Back

Infinitely Many Solutions

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for a variable and substitute it into the other.