Solve systems by graphing and substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations by graphing?

Back

It means to draw the equations on a graph and find the point(s) where they intersect.

Front

What is substitution in solving systems of equations?

Back

Substitution is replacing one variable with an expression from another equation.

Front

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

Back

It means there is no solution because the lines never intersect.

Front

What is an infinitely many solutions scenario in a system of equations?

Back

It occurs when the two equations represent the same line.

Front

How do you find the x-intercept of an equation?

Back

Set y to 0 and solve for x.

Front

How do you find the y-intercept of an equation?

Back

Set x to 0 and solve for y.

Front

What is the solution to the system: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

What is the solution to the system: y = 2x - 11 and -3y = -6x - 15?

Back

No solution (parallel lines)