What is the y-coordinate of the solution for the system of equations?
{x-y=-11
{y+7=-2x
Enter your answer in the box.
y =
rewrite first one
x = y -11
use that for x in the second one
y + 7 = -2(y-11)
y + 7 = -2 y + 22
3 y = 15
y = 5
so y=5
(1) x-y=-11
(2) y+7=-2x
rearrange the equation 1 to get y by itself
-> x=-11+y
substitute that in equation 2
y+7=-2(-11+y)
and solve for y
yes
To find the y-coordinate of the solution for the system of equations:
Step 1: Write the system of equations:
x - y = -11 ...(Equation 1)
y + 7 = -2x ...(Equation 2)
Step 2: Solve one equation for one variable (preferably x or y) and substitute it into the other equation.
From Equation 1, rearrange it to solve for x:
x = y - 11
Now, substitute this value for x into Equation 2:
y + 7 = -2(y - 11)
Simplify and solve for y:
y + 7 = -2y + 22
3y = 15
y = 5
Step 3: Substitute the value of y back into either of the original equations to find the corresponding x-coordinate.
Using Equation 1:
x - 5 = -11
x = -6
Therefore, the solution to the system of equations is x = -6 and y = 5.
So, the y-coordinate of the solution is y = 5.