-7x +y=-10 and -9x-y=-22

x = 2, y = 4

Step-by-step explanation:

- 7x +y = -10

-9x -y = -22

add up both equations

(-7x+-9x) + (y +-y) = (-10 +-22)

(-7x-9x) + (y -y) = (-10 -22)

-16x +0 = -32

-16x = -32

x = -32/ -16

x =2

substitute the value of x into the first equation

- 7x +y = -10

-7(2) + y = -10

-14 +y = -10

collect like terms

y = -10 +14

y = 14-10 = 4

x = 2, y = 4

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

for the free

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