Solving Systems by Substitution

Front

What is the solution to the system of equations if x = 4 and y = 3?

Back

(4, 3)

Front

How many solutions can a system of equations have?

Back

No solution, One solution, Infinite solutions

Front

What is the correct substitution for the equation 2x − 3y = −1 if y = x − 1?

Back

2x − 3(x − 1) = −1

Front

What does a One Solution system look like on a graph?

Back

Two lines intersecting at one point.

Front

If x = 4, what is the value of y in the equations 2x - 3y = -1 and y = x - 1?

Back

y = 3

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression involving the other variable.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines representing the equations are the same line.

Front

How do you isolate a variable in an equation?

Back

Rearranging the equation to get the variable on one side and constants on the other.

Front

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

Back

Isolate one variable in one of the equations.