Question

A system of equations is shown below:

n = 3m + 5
n − 2m = 3

What is the solution, in the form (m, n), to the system of equations?

(2, 11)
(1, 8)
(−2, −1)
(−3, −4)

Answer 1

what do you think?

Answer 2

No clue

Answer 3

let's substitute the first equation into the second one
\(3m + 5 -2m = 3 \\ 5 - m = 3 \\ -m = -2 \\ m = 2\)

Answer 4

substitute 2 for m
\(n=3*2+5\\3*2=6\\6+5=11\)

Answer 5

so (2,11)

Answer 6

The system of equations shown below is graphed on a coordinate grid:

3y + x = 4
2y − x = 6

Which statement is true about the coordinates of the point that is the solution to the system of equations?

It is (−2, 2) and lies on both lines.
It is (−5, 3) and lies on both lines.
It is (−5, 3) and does not lie on either line.
It is (−2, 2) and does not lie on either line.

Answer 7

actually it's -2,-1 when I graphed it

Answer 8

and for this one
it's A