Question

Find the solution of this system of equation
-x-4y=-37 "-2x-5y=-53"

Answer 1

(x, y) = (9, 7)

Explanation:

There are numerous ways to find the solution to a system of equations. A quick and easy one is to use a graphing calculator. The attachment shows the solution to be ...

(x, y) = (9, 7)

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You can also look for opportunities to do substitution or elimination. Here, the x-coefficients differ by a factor of 2, so it is convenient to subtract twice the first equation from the second. This eliminates the x-variable.

(-2x -5y) -2(-x -4y) = (-53) -2(-37)

3y = 21 . . . . . . simplify

y = 7 . . . . . . . . divide by 3

-x -4(7) = -37 . . . . . substitute into the first equation

-x = -9 . . . . . . . . . . . add 28

x = 9

The solution is (x, y) = (9, 7).