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OLEGan [10]
3 years ago
6

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.

Mathematics
1 answer:
Sauron [17]3 years ago
8 0

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 $y=4$

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