Question

Which of the ordered pairs in the form (x, y) is a solution of this equation?
5x-y/3=13
(2,-9),(3,-6)


A.
The first is a solution, but the second is not.

B.
The first is not a solution, but the second is.

C.
Both are solutions.

D.
Neither is a solution.

Answer 1

\[5x - \frac{ y }{ 3 } = 13 \rightarrow - \frac{ y }{ 3 } = 13 - 5x \rightarrow (3)(-y) = 3(13 - 5x) \rightarrow -3y = 39 -15x\]

\[-3y = 39 -15x \rightarrow -y = -13+ 5x \rightarrow y = 13 - 5x \]

Answer 2

@AlexandervonHumboldt2 Can you just check whether this is correct?

Answer 3

you just need to substitute each point into the equation and solve .

Answer 4

so \(y = -5x + 13\) is correct?

Answer 5

don't you multiply both sides by 3 to get rid of it from y? the inverse of division is multiplication?

Answer 6

@AlexandervonHumboldt2

Answer 7

woops yeah sorry

Answer 8

5x -y/3=13
-y/3=13-5x
-y=(-5x+13)*3
y=15x-39

Answer 9

why did you not multiply 3 with -y?

Answer 10

@AlexandervonHumboldt2