Solve the system of equations using elimination: 4, x, minus, 2, y, equals, 104x−2y=10 and 7, x, minus, 4, y, equals, 137x−4y=13.
To solve the system of equations using elimination, we need to eliminate one variable by adding or subtracting the equations. Since the coefficients of x are the same in both equations, we can subtract the second equation from the first equation.
(104x - 2y) - (137x - 4y) = 10 - 13
-33x + 2y = -3
Now we can solve this equation for y in terms of x.
2y = 33x - 3
Divide both sides by 2:
y = (33/2) x - 3/2
The solution to the system of equations is:
x = x
y = (33/2) x - 3/2