Question

if 3y+3=x-11 and 5y-6=x+2 what do variables x and y equal

Answer 1

3y + 3 = x - 11
3y - x = -11 - 3
3y -x = - 14 <-- remember this

5y - 6 = x + 2
5y - x = 2 + 6
5y - x = 8 < -- remember this

now take the two equations that I told you to remember...
3y - x = - 14--> (-1)3y - x = - 14
5y - x = 8
-------------
-3y + x = 14 (result of multiplying by -1)
5y - x = 8
-------------add
2y = 22
y = 11

now sub 11 in for y in either of the two equations
5y - x = 8
5(11) - x = 8
55 - x = 8
-x = 8 - 55
-x = - 47
x = 47

check...
3y + 3 = x - 11
3(11) + 3 = 47 - 11
33 + 3 = 47 - 11
36 = 36 (correct)
check...
5y - 6 = x + 2
5(11) - 6 = 47 + 2
55 - 6 = 49
49 = 49 (correct)

ANSWER : x = 47 and y = 11 or (47,11)