Solve the system of equations by substitution -6x+7y=23, -5x+y=24

x = -5,  y = -1

Step-by-step explanation:

You're given 2 equations:

-6x + 7y = 23

-5x + y = 24

you choose the equation that is easier to isolate a single variable to use as your substitution. I chose -5x + y = 24 because the 'y' is already by itself. Now solve for 'y'.

-5x + y = 24

y = 24 + 5x

Use this y-value to substitute into your other equation

-6x + 7y = 23

-6x + 7(24 + 5x) = 23

-6x + 168 + 35x = 23

29x = 23 - 168

29x = -145

x = -5

We found the value of 'x', so plug it back in to any of the two given equation to solve for y.

-5x + y = 24

-5(-5) + y = 24

25 + y = 24

y = 24 - 25

y = -1

i'm not sure i quite understand, could you provide more information?

yes

step-by-step explanation:

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