How do you solve this system of equations: $- 2 x + 7 y = 13 and 4 x - 6 y = 2$ $-2x + 7y = 13 and 4x - 6y = 2$ ?

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How do you solve this system of equations: $- 2 x + 7 y = 13 and 4 x - 6 y = 2$ $-2x + 7y = 13 and 4x - 6y = 2$ ?

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Answer 1 · 2017-11-19T08:31:19

$x = 5.75$ $x=5.75$
$y = 3.5$ $y=3.5$

Explanation:

$- 2 x + 7 y = 13$ $−2x+7y=13$
and
$4 x - 6 y = 2$ $4x−6y=2$
I am going to solve it by using addition method.

1) $- 2 x + 7 y = 13 ∣ \times 2$ $−2x+7y=13 |×2$
and
$4 x - 6 y = 2$ $4x−6y=2$

2) $- 4 x + 14 y = 26$ $-4x+14y=26$
and
$4 x - 6 y = 2$ $4x-6y=2$

3) now I am going to sum these equations
$- 4 x + 14 y = 26$ $-4x+14y=26$
$4 x - 6 y = 2$ $4x-6y=2$
$8 y = 28$ $8y=28$

4) $8 y = \frac{28}{8}$ $8y=\frac {28}{8}$
$y = 3.5$ $y=3.5$

5) $4 x - 6 y = 2$ $4x−6y=2$
$4 x - 6 \times 3.5 = 2$ $4x−6×3.5=2$
$4 x = 2 + 21$ $4x=2+21$
$4 x = \frac{23}{4}$ $4x=\frac{23}{4}$
$x = 5.75$ $x=5.75$

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How do you solve this system of equations: $- 2 x + 7 y = 13 and 4 x - 6 y = 2$ $-2x + 7y = 13 and 4x - 6y = 2$ ?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

How do you solve this system of equations: −2x+7y=13and4x−6y=2-2x + 7y = 13 and 4x - 6y = 2?

1 Answer

Explanation:

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Impact of this question

How do you solve this system of equations: $- 2 x + 7 y = 13 and 4 x - 6 y = 2$ $-2x + 7y = 13 and 4x - 6y = 2$ ?