Question

A system of equations consists of the two equations shown.

4x+5y=18
6x−5y=20
Which procedure will produce a single equation in one variable? Select all the procedures that apply.

A.
Subtract the first equation from the second equation.

B.
Subtract the second equation from the first equation.

C.
Multiply the first equation by 18; multiply the second equation by 18; add the equations.

D.
Multiply the first equation by − 6; multiply the second equation by 4; add the two equations.

E.
Multiply the first equation by 3; multiply the second equation by − 2;add the two equations.

F. Multiply the first equation by 3; multiply the second equation by 2; subtract the equations in any order.

Answer 1

C.

Multiply the first equation by 18; multiply the second equation by 18; add the equations.

D.

Multiply the first equation by − 6; multiply the second equation by 4; add the two equations.

E.

Multiply the first equation by 3; multiply the second equation by − 2;add the two equations.

Explanation:

All of these procedures work because they are canceling out the x and y values in both equations.