Please help ASAP math

(1,-4)

Step-by-step explanation:

First manipulate the second equation so that y is by itself

x-y=5

-y=-x+5

y=x-5

then substitute that y in for the y in the above equation and solve for y

y=-2x-2

x-5=-2x-2

3x-5=-2

3x=3

x=1

Now that you have the x-coordinate, find the y-coordinate by plugging in the x-value in either of the equations

y=-2x-2

y=-2(1)-2

y=-2-2

y=-4

I see that you're using deltamath, and I think for the graph questions, you could first place a point for the y-intercept of one of the equations, and then place another point that is on the graph of the equation. Once you plotted both lines, just see the point where they meet and that is where the two systems of equations meet.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.