Question

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)

Answer 1

c

Explanation:

Answer 2

The answer is C

Explanation:

Use the method of elimination

First rearrange the first equation to look like the second

`2x + 3y = 17 \\ 4x + 6y = 34 \\ - 4x - 6y = - 34`

Next add the two equations together eliminating the y term.

`- 4x - 6y = - 34 \\ 3x + 6y = 30 \\ \\ - x = - 4 \\ x = 4`

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

`3x + 6y = 30 \\ 3 * 4 + 6y = 30 \\ 12 + 6y = 30 \\ 6y = 18 \\ y = 3`