substitution method

-x-4y=-14 2x=y+1

Let's look at your two equations.
-x - 4y = -14
2x = y + 1

Let's solve the second equation for y:
y = 2x - 1

Now let's substitute (2x - 1) for y in the first equation:
-x - 4(2x - 1) = -14
-x - 8x + 4 = -14
-9x + 4 = -14
-9x = -18
x = 2

Substitute 2 for x in the second equation and solve for y:
2(2) = y + 1
4 = y + 1
y = 3

Check these values with the original equations. It always helps to check your work!

I hope this will help.

asked by seth

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