Question

Solve 2x – 5y = 1 by the elimination method.
3x – 4y = -2 ?

Answer 1

you want to multiply one of the equations or both by a constant value, so that when you add the equations together, a variable will sum to zero

Answer 2

for instance 2x and 3x

multiply first equation by 3 will give you 6x
multiply second equation by -2 giving -6x

added they go to zero and x drops out

Answer 3

ditto
\(\large \begin{array}{llcll}
2x-5y=1&{\color{brown}{ \times 4}}\implies &8x\cancel{-20y}=4\\
3x-4y=-2&{\color{brown}{ \times -5}}\implies &-15x\cancel{+20y}=10
\\\hline\\
&&\square ?+\square ?=\square ?
\end{array}\)

Answer 4

-7x= 14
x=-2?

Answer 5

yeap

Answer 6

Thank you both!

Answer 7

yw