Question

ANSWER ASAP PLS! WILL GIVE MAX PTS Three times x is 13 less than y. The sum of x and two times y is 12. Write two equations and graph to find the value of y.

Group of answer choices
y = -2
y = 2
y = 7
y = -7

Answer 1

Hello There!!

Solution For Given Question

Three times x is 13 less than y

`3x = y - 13 \\ = > 3x + 13 = y`

The sum of x and two times y is 12.

`x + 2y = 12`

Replacing Value of Y with 3x + 13

`x + 2y = 12 \\ \\ \implies x + 2(3x + 13) = 12 \\ \\ \implies x + 6x + 26 = 12 \\ \\ \implies7x = 12 - 26 \\ \\ \implies 7x = - 14 \\ \\ \implies x = \cancel( - 14)/(7) \\ \\ \implies x = - 2`

Now we need to fine Value of'y' i e.,

`y = 3x + 13 \\ \\ \implies y = 3( - 2) + 13 \\ \\ \implies y = - 6 + 13 \\ \\ \implies y = 7`

`\therefore \text{option c.(y = 7) is your answer}`

Hope this helps