Solve Systems of Equations by Substitution

Front

The first step in solving using the substitution method is __________.

Back

get either variable by itself

Front

Solve the following systems of equations using substitution: x = 6, y = 2x - 3. What is the solution?

Back

(6, 9)

Front

Given the equations y = -2x + 5 and y = 2x - 11, what is the solution?

Back

(4, -3)

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

How many solutions does the graph have if the lines intersect at one point?

Back

One solution

Front

What does it mean if two lines in a system of equations are parallel?

Back

No solution

Front

What is the graphical representation of a system of equations with infinite solutions?

Back

The lines overlap completely.

Front

In the substitution method, what do you do after isolating one variable?

Back

Substitute the expression into the other equation.

Front

What is the purpose of solving systems of equations?

Back

To find the values of variables that satisfy all equations simultaneously.

Front

If a system of equations has no solution, what can be said about the lines?

Back

They are parallel and never intersect.