Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation by itself.

Front

Solve for y: 3x + 2y = 6

Back

y = 3 - 1.5x

Front

What is the first step in solving the system of equations using substitution?

Back

Get either variable by itself in one equation.

Front

Solve the system of equations using substitution: x + y = 5, y = 2x - 1

Back

(2, 3)

Front

What does it mean for a system of equations to have no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is the solution to the system of equations? y = 2x + 1, y = -x + 4

Back

(1, 3)

Front

Solve for x: 2x - 3 = 7

Back

x = 5

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Front

Solve the system of equations using substitution: 2x + 3y = 12, y = 4 - x

Back

(2, 2)