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hammer [34]
3 years ago
11

Solve by elimination 2x+5y=17 6x-5y=19

Mathematics
1 answer:
zhenek [66]3 years ago
3 0
<h3><u>The value of y is 1.6</u></h3><h3><u>The value of x is 4.5</u></h3>

By elimination:

2x + 5y = 17

6x - 5y = 19

<em><u>We can add the second equation to the first in order to isolate one variable.</u></em>

(2x + 5y) + (6x - 5y)

8x = 17

<em><u>Because we added the left side, we have to add the right side here as well.</u></em>

17 + 19 = 36

8x = 36

<em><u>Divide both sides by 8</u></em>

x = 4.5

We can plug this value back into the original equation to find the value of y.

2(4.5) + 5y = 17

9 + 5y = 17

<em><u>Subtract 9 from both sides.</u></em>

5y = 8

<em><u>Divide both sides by 5.</u></em>

y = 1.6


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