Solving By Graphing and Substitution

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

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

Back

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

Front

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

Back

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

Front

How do you graph the equation y = mx + b?

Back

Start at the y-intercept (0, b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

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

Back

Isolate one variable in one of the equations.

Front

Solve the system by substitution: 2x + 3y = 6, y = 2 - x. What is the solution?

Back

(0, 2)