Answer:
(10 2/3, 5)
Step-by-step explanation:
1/2 x + 1/3y = 7
1/4x + 2/3y = 6
I do not like fractions so I will multiply the first equation by 6 and the second equation by 12 to eliminate the fractions.
6(1/2 x + 1/3y) = 7*6
Distribute
3x+2y = 42
Now the second
12(1/4x + 2/3y) = 6*12
3x+8y = 72
My system of equation is
3x+2y = 42
3x+8y = 72
Subtracting the second from the first
3x+2y = 42
-3x-8y = -72
-------------------
-6y = -30
Divide by -6
-6y/-6 = -30/-6
y =5
Substituting into 3x+2y = 42
3x+2(5) = 42
3x+10 =42
Subtracting 10 from each side
3x+10-10 =42-10
3x= 32
Dividing by 3
3x/3 = 32/3
x = 32/3 or 10 2/3
