Question

Two times x is 8 more than y. The sum of x and two times y is 14. Write two equations and graph to find the value of y.

y = 6
y = 4
y = -4
y = -6

Answer 1

Option B:
`$y=4$` is the value of y

Step-by-step explanation:

It is given that "Two times x is 8 more than y". Writing it as expression, we have,

`2x=8+y`

It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,

`x+2y=14`

To find the value of y, let us solve the two equations using substitution method.

From the equation
`2x=8+y` , let us find the value of x.

`x=(8+y)/(2)`

`x=(8)/(2) +(y)/(2)`

`x=4+(y)/(2)`

Now, substituting
`x=4+(y)/(2)` in the equation
`x+2y=14` , we get,

`4+(y)/(2)+2y=14`

`4+(5y)/(2) =14`

`$(5 y)/(2)=10$`

`5y=20`

`$y=4$`

Thus, the value of y is
`$y=4$`