What is the solution to the system of equations below?
2x+3y=17
3x+6y=30
a. (-7,24)
b. (3,4)
c. (4,3)
d. (24,-7)

The answer is C

Step-by-step explanation:

Use the method of elimination

First rearrange the first equation to look like the second

Next add the two equations together eliminating the y term.

There's only one answer with x = 4 so you're done. To go further, substitute x = 4 into the second equation and solve for y

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

i think it is 18

step-by-step explanation: