Answer:
Using the elimination method to solve for x and y; ANSWER: y=2 & x=-20
Step-by-step explanation:
1) It helps to visualize the equation if you put the second equation underneath the first like regular adding.
(2x+10y= -20)
+ (-x+4y= 28)
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2) You always want to cancel out one value (x or y) to start the process.
In this case, if I can get a -2x to cancel out 2x (neg. and positive cancel), that would cancel out the x's in the two equation. To do that, I would multiply by 2 to the second equation and add like you would normally (like terms with like terms, x with x and y with y)
2x+10=-20 2(-x+4y=28) ---> 2x+10y= -20 <u><em>plus</em></u> -2x+8y=56 --->18y=36 (this is the final simplified outcome)
3) find y so y =36/18 so y =2
4) Plug y=2 back into one of the original equation and solve for x
2x+10(2)= -20 ---> x=-20
