Solve by substitution to find x and y

4=-x-y
2x-y=10

Hello Jay

4=-x-y

2x-y=10

We need to solve 4=-x-y for x

Now add x to both sides

4+x=-x-y+x

x+4==-y

Add -4 to both sides

x+4-4=-y-4

x=-y-4

Now we need to substitute -y-4 for x in 2x-y=10

2x-y=10

2(-y-4)-y=10

To find the result of this factor we need to simplify

-3y-8=10

Add 8 to both sides so we can start finding the y value

-3y-8+8=10+8

-3y=18

Divide both sides by -3 so we can find the y value

-3y/-3=18/-3

y=-6

Now let's find the x value by substitute -6 for y in x=-y-4

x=-y-4

x=-(-6)-4

x=2

x=2 and y=-6

I hope that's help:0

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints