Question

PLS HELP ASAP THANKS

Answer 1

(5,-1)

x=5

y= -1

Explanation:

To solve this we're going to solve for one variable in either equation

so we have

x+y=4

We can subtract y and 4 from both sides to get

x-4= -y

Then divide by -1 so that y will be a positive number

-x+4=y

We can plug this in for y in the other equation

2x -2(-x+4)=12

Distribute the -2 and get

2x+2x-8=12

Combine like terms and add 8 to get

4x=20

divide and get x=5

Plug in x=5 into the first equation to get

5+y=4

subtract 5 to get y= -1

Our answer is (5,-1) or x=5 y= -1

I checked this on desmos and the math is correct

Answer 2

The solution to the system of equations will be:

x = 5, y = -1

Explanation:

Given the system of equations

x + y = 4

2x - 2y = 12

Isolate x for x + y = 4: x = 4 - y

substitute x = 4 - y in the equation 2x - 2y = 12

2(4-y) - 2y = 12

8 - 2y - 2y = 12

8 - 4y = 12

4y = 8 - 12

4y = -4

divide both sides by 4

4y/4 = -4/4

y = -1

substitute y = -1 in x + y = 4

x + y = 4

x + (-1) = 4

x - 1 = 4

x = 5

so

(x, y) = (5, -1)

Therefore, the solution to the system of equations will be:

x = 5, y = -1