Solving Systems 3 Ways

Front

What is the slope-intercept form of the equation 4x - 8y = 72?

Back

y = \frac{1}{2}x - 9

Front

The slopes of parallel lines are...

Back

the same

Front

What operation on the system of equations 4x - 5y = -10 and 2x - 7y = 4 will isolate the y quantity?

Back

Multiply the second equation by -2 and add the result to the first equation.

Front

If x = -3, what is the value of y in the equation 2x + 3y = 6?

Back

(-3, 4)

Front

Solve the system of equations: y = -5x and x + 3y = 28.

Back

(-2, 10)

Front

What is the general form of a linear equation?

Back

Ax + By + C = 0, where A, B, and C are constants.

Front

What does it mean for two lines to be perpendicular?

Back

Their slopes are negative reciprocals of each other.

Front

How can you determine if a system of equations has no solution?

Back

If the lines represented by the equations are parallel.

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the lines intersect.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.