The sum of six times a number y and another number x is -62. The difference of x and y (in that order), is 15. What is the value of y?

The value of y is - 11

Step-by-step explanation:

The first statement is written as

6y + x = -62 equation 1

The second statement is written as

x - y = 15 equation 2

To find y make x the subject in the second equation and substitute it into the first equation

That's

x = 15 + y

6y + x = - 62

6y + 15 + y = -62

7y = -62 - 15

7y = - 77

Divide both sides by 7

y = - 11

Hope this helps you.

18

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is