Question

The answer is no solution right? Solve the system, using substitution. Write the solution as an ordered pair (m, n).
2m - 3n = 6 and m = 3 - 2n

(6, 2)
(3, 0)
(-3, -4)
(0, 2)
no solution

Answer 1

I would turn them into lines:\[
2m - 3n = 6 \implies 2m = 6 + 3n \implies m = 3+1.5n
\\
m = 3 - 2n
\]These lines do not have the same slope (one is -2, the other is +1.5), so they aren't parallel. So they should eventually hit for some value of \(n\).

Answer 2

\[
3-2n = m = 3+1.5n \implies 3-2n = 3+1.5n
\]Solving for \(n\) here should tell you the solution, I believe.

Answer 3

look i did the work i changed m=y and n=x ok

2x-3y=6 and x=3-2y
2(3-2y)-3y=6
6-4y-3y=6
6-1y=6-6
-1y/-1=0/-1
so tha would make it no solution bcs its not possible to get x after that

Answer 4

Though the substitution method they mentioned would mean doing this: \[
2m - 3n = 6 \wedge m = 3 - 2n \implies 2(3-2n) - 3n = 6\\
2(3-2n) - 3n = 6
\]

Answer 5

so would i get -1/0?

Answer 6

Okay so
-1y/-1=0/-1
means
y = 0

Answer 7

Then plug that into another equation:
x=3-2y
x=3-2(0)
x=3-0
x=3

Answer 8

ok ok so that means the answer is 3,0 ?

Answer 9

x = 3, y = 0 (3, 0)

Answer 10

thank you for your help:)

Answer 11

No, because you switched m and n

Answer 12

(m, n), means m is x and n is y.

Answer 13

i wrpte 3,0 up there didnt you see?

Answer 14

Oh, ok