What is the y-coordinate of the solution of the system of equations?
{y=2x+14
{-4x-y=4
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y =
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2x = y-14
so
-4x = -2(y-14) = -2y + 28
use that for -4x in equation 2
(-2y+28) - y = 4
-3 y = -24
thank u so much damon
You are welcome.
To find the y-coordinate of the solution of the system of equations, we need to solve the system and find the value of y. We can do this by using the given equations and the method of substitution or elimination.
Let's solve the system using the method of substitution. We are given two equations:
1) y = 2x + 14
2) -4x - y = 4
First, let's rearrange equation 1) to solve for x in terms of y:
y = 2x + 14
y - 14 = 2x
x = (y - 14) / 2
Now substitute this expression for x in equation 2):
-4x - y = 4
-4((y - 14) / 2) - y = 4
-2(y - 14) - y = 4
-2y + 28 - y = 4
-3y = 4 - 28
-3y = -24
y = -24 / -3
y = 8
So, the y-coordinate of the solution of the system of equations is 8.
You can enter this value of y in the box provided.