Solve each of the following system of equations by substitution
y = -3x +5
2x+y=6

x = -1

y = 8

Step-by-step explanation:

y = -3x +5 . (1)

2x+y=6 .  (2)

(1) in (2)

2x + ( -3x + 5 ) =6

= 2x - 3x + 5 = 6

= -x + 5 = 6

Subtract 5 from each side

= -x = 1

x = -1

Now  put "-1" in for "x" in the first equation:

y = -3 (-1) +5

= y = 3 + 5

= y = 8

Hope that helps!

:D

-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

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