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.

Answer 1

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

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.

$x=\frac{8+y}{2}$

$x=\frac{8}{2} +\frac{y}{2}$

$x=4+\frac{y}{2}$

Now, substituting $x=4+\frac{y}{2}$ in the equation $x+2y=14$ , we get,

$4+\frac{y}{2}+2y=14$

      $4+\frac{5y}{2} =14$

            $\frac{5 y}{2}=10$

            $5y=20$

              $y=4$

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