How do you solve 2x + 5y = 13 and y = –2x + 17?

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How do you solve 2x + 5y = 13 and y = –2x + 17?

1 Answer

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Answer 1 · 2015-10-15T05:07:56

$y = - 1$ $y = -1$
$x = 9$ $x = 9$

Explanation:

equation1 = 2x + 5y = 13
equation2 = y = -2x + 17

Rearrange Equation2

2x + y = 17

Now,

Equation 1:
2x + 5y = 13

Equation 2:
2x + y = 17

Subtract Equation2 from Equation1

4y = -4

$y = - 1$ $y = -1$

Put this value of y in Equation1 or Equation2

Putting in Equation1
$2 x + 5 (- 1) = 13$ $2x + 5(-1) = 13$
$2 x - 5 = 13$ $2x - 5 = 13$
$2 x = 13 + 5$ $2x = 13 + 5$
$2 x = 18$ $2x = 18$
$x = 9$ $x = 9$

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How do you solve 2x + 5y = 13 and y = –2x + 17?

1 Answer

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