Question

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.

Answer 1

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