PLEASE HELP

X + Y = 6
X + Y = 4

C. (5,1)

Step-by-step explanation:

Well first we need to single out y in the following equation,

x - y = 4

so,

-x to both sides -y = -x + 4

divide the - by everything y = x - 4.

Now that we have our two equations.

x + y = 6

y = x - 4

We can substitute the y in the x + y = 6 for x - 4

x + x - 4 = 6

2x - 4 = 6

Add the 4

2x = 10

Divide the 2

x = 5.

Now that we have the x we can plug it in for x in x + y = 6

5 + y = 6

-5 to both sides

y = 1

So the solution is (5,1)

For more proof look at the image below.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: