Question

How to solve by elimination2x-y=32 and y -5x=13

Answer 1

{2x-y=32

{y-5x=13      (+)

(2x-y)+(y-5x)=32+13

2x-y+y-5x=45

-3x=45    /:(-3)

x=-15

2x-y=32

2*(-15)-y=32

-30-y=32

-y=62

y=-62

The answer: (-15; -62)

Answer 2

2x-y=32
y-5x=13

transform the second equation to make the elimination possible
2x-y=32
-5x+y=13

now, our ys match, and we can drop them out

     2x-y=32
+
     -5x+y=13
     -3x+0=45
       
x= -15

Now we use the meaning of x in one of the original equations

2*(-15)-y=32
-y=32+30
y=-62

The answer is (-15;-62)

If you need more help, please, see
http://www.domymathhomework.net/