Question 181720
1/2x + 2y = 12 and x - 2y = 6
:
Get rid of that annoying denominator, multiply the 1st equation by two
x + 4y = 24
Arrange for substitution:
x = (24 - 4y)
:
Substitute this for x in the 2nd equation
x - 2y = 6
(24-4y) - 2y = 6
-4y - 2y = 6 - 24
-6y = -18
6y = 18; multiplied both sides by -1
y = {{{18/6}}}
y = 3
:
Find x using x = 24-4y
x = 24 - 4(3)
x = 24 - 12
x = 12
:
:
Check solution in the the 1st equation:
1/2x + 2y = 12
{{{1/2}}}*12 + 2(3) = 
6 + 6 = 12