9. The final method of solving systems of equations covered is called “multiplication,” but
is actually a form of elimination that requires an extra step, multiplication. Given the
following system of equations, explain how you would solve using elimination and give
your final answer.
a. x – y = 5
b. 2x + 6y = -14

Question

9. The final method of solving systems of equations covered is called “multiplication,” but 
is actually a form of elimination that requires an extra step, multiplication. Given the 
following system of equations, explain how you would solve using elimination and give 
your final answer. 
a. x – y = 5 
b. 2x + 6y = -14

anonymous · Answer

Multiply the entire top equation by -2 and add it to the bottom, so:

x-y=5 ->         -2x+2y=10
                       +2x+6y=-14
--------------------------
The X's cancel, so we have  8y=-4.  Now solve for y first.