Answer:
x = (3/2) and y = (9/2)
Explanation:
x+y=6
5x-y=3
Substitution involves rearranging one of the two equations to isolate one of the variables, and then using that definition of that variable in the second equation.
Lets rearrange the first equation and isolate x:
x+y=6
x = 6 - y
Now use this value of x in the second equation:
5x-y=3
5*(6 - y)-y=3
30 - 5y - y = 3
30 - 6y = 3
-6y = -27
y = (27/6) or (9/2)
If y is (9/2) then we can find x:
x = 6 - y
x = 6 - (9/2)
x = 12/2 - 9/2 or (3/2)
CHECK:
Do both equations hold true for x = (3/2) and y = (9/2)?
x+y=6
(3/2) + (9/2) = 12/2 or 6 YES
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5x-y=3
5*(3/2) - (9/2)
(15/2) - (9/2) = 6/2 or 3 YES