Question

Find the solution of the system of equations.

minus, 10, x, minus, 5, y, equals, 5
−10x−5y=
5
minus, 4, x, plus, 5, y, equals, 23
−4x+5y=
23

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations, we can use the elimination method.

First, let's multiply the first equation by 5 so that we can eliminate y when we add the equations together:

-10x - 5y = 5
-4x + 5y = 23

-50x - 25y = 25
-4x + 5y = 23

Now we add the two equations together:

-50x - 25y = 25
-4x + 5y = 23
-54x = 48
x = -48/54
x = -8/9

Now we can substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

-10(-8/9) - 5y = 5
80/9 - 5y = 5
-5y = 45/9 - 80/9
-5y = -35/9
y = 7/9

Therefore, the solution to the system of equations is x = -8/9 and y = 7/9.