Which ordered pair (x, y) satisfies the system of equations shown below? 9x - y = 63
x = y +7

(7, 0)

Step-by-step explanation:

We have the system of equations:

9*x - y = 63

x = y + 7

We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:

9*x - y = 63

9*(y + 7) - y = 63

Now we have an equation that only depends on one variable, so we can solve it:

9*y + 63 - y = 63

8*y + 63 = 63

8*y = 63 - 63 = 0

y = 0/8 = 0.

Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:

x = y + 7 = 0 + 7 = 7

Then the point that is a solution for the system of equations is (7, 0)

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

10.4 inches

step-by-step explanation:

2x2x2.6