Solve one at a time. First, isolate x in the simpler equation:
x+5y=6
to isolate X, subtract 5y from both sides
x=6-5y
Now, plug your new X (6-5y) into the second equation:
7(6-5y)+7y=14
distribute 7
42-35y+7y=14
combine like terms
42-28y=14
cancel the 42 by subtracting it from both sides
-28y=-28
isolate y by dividing both sides by -28
y=1
Now, plug your Y (1) into the original equation to solve for X
x+5(1)=6
x+5=6
isolate X by subtracting 5 from both sides
x=1
Check by plugging your X and Y into each equation:
1+5(1)=6
1+5=6
6=6
7x+7y=14
7(1)+7(1)=14
7+7=14
14=14
So, your answers are x=1, y=1 or (1,1).
