Y= 3x + 1 y= 2x - 3

When using the method called substitution, the y coordinate of the solution to the system of equations shown above is:
A. 13
B. -13
C. 11
D. -11

y= -11

Step-by-step explanation:

After rearranging equation 2, we get x= y+3/2

Sub it into equation 1

y= 3(y+3/2) + 1

y= 3y+9/2 + 1

y= 3y + 11 / 2

2y = 3y + 11

-y = 11

y = -11

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

you have orange juice on wednesday. (idk why this is the answer)

step-by-step explanation: