Use the substitution method to solve the system of equations. choose the
correct ordered pair.
x + 3y = 10
y = x + 2

x = 1

y = 3

Step-by-step explanation:

We can solve this problem by inputting the second equation into the first equation by replacing the y variable with the second equation.

x + 3y = 10

y = x + 2

x + 3(x + 2) = 10

Now, distribute three with x and 2

3 * x = 3x

3 * 2 - 6

x + 3x + 6 = 10

4x + 6 = 10

Subtract 6 from both sides

4x = 4

So, x = 1

Solve for y by replacing x in the second equation with 1.

y = 1 + 2

y = 3

d

step-by-step explanation:

-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