Question

If 2x−3y=11 and 3x+15=0, what is the value of y? These are the choices given:
a) -7 b)-5 c)-1/3 d)3 e)10

Answer 1

Answer:

A.-7

Step-by-step explanation:

If $2x-3y=11$ and $3x+15=0$

To know the value of y we need to clear x in the equation $3x+15=0$ and the result replace it in $2x-3y=11$.

Then, let's clear x in the equation $3x+15=0$

$3x=-15\\x=-\frac{15}{3} =-5$

Substituting the value of x in the equation $2x-3y=11$

$2(-5)-3y=11\\-10-3y=11\\-3y=11+10\\y=\frac{11+10}{-3} \\y=\frac{21}{-3}\\ y=-7$

Answer 2

Answer:

a) y = -7.

Step-by-step explanation:

2x − 3y = 11

3x + 15 = 0

From the second equation:

3x = -15

x =  -5.

Substitute this value in the first equation:

2(-5) - 3y = 11

-10 - 11 = 3y

3y = -21

y = -7.