Answer:
x=6/7, y=-228/35
Step-by-step explanation:
-4x+5y = -36 /*3
15x-3y = 32 /*5
------------------------- here we multiply both equations to get common y
-12x+15y = -108
75x-15y = 160
------------------------- then we add these two equations to eliminate the y
-12x+75x+15y-15y = 54
63x = 54
------------------------- then we get the x
x = 54/63
x = 6/7 (after we divide both with 9)
------------------------ next up, we add the value of x in first equation
-4 * 6/7 + 5y = -36
-24/7 + 5y = -36
------------------------ we leave 5y on the left side
5y = -36 + 24/7
5y = -252/7 + 24/7
-------------------------- common divider is 7 so we multiply 36*7=252
5y = -228/7
y= -228/7/5/1
------------------------- now we leave only y on the left side
y = -228*1/7*5
y = -228/35
------------------------- when dividing the fragment we multiply outer and inner