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kati45 [8]
3 years ago
7

Solve the system using substitution. 2x = 5y + 14 x = 5y

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer:

<h2>y = 2.8</h2><h2>x = 14</h2>

Step-by-step explanation:

To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.

10y = 5y + 14

First, we need to get all the variables on one side of the equation, so we subtract 5y.

5y = 14

Divide by 5

y = 14/5 or 2 4/5 or 2.8

Now for the x part.

2x = x + 14

Subtract 1x

x = 14

Now we check our answer.

2(14) = 5(2.8) + 14

28 = 14 + 14

28 = 28

Because 28 equals 28, our solutions are correct.

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