What are x and y if $5x - 2y = -5$ and $y - 5x = 3$ ?

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What are x and y if $5x - 2y = -5$ and $y - 5x = 3$ ?

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Answer 1 · 2018-05-09T05:08:33

$color(brown)(x = -1/5, y = 2$

Explanation:

$5 x - 2 y = -5, " Eqn (1)"$

$y - 5 x = 3, " Eqn (2)"$

$y = 5x + 3$

Substituting value of y in terms of x in Eqn (1)"#,

$5x - 2*(5x + 3) = -5$

$5x - 10x - 6 = -5$

$-5x = -1, x = -1/5$

$y = 5x + 3 = 5 * (-1/5) + 3 = 2$

Answer 2 · 2018-05-09T06:03:17

The solution is $(-1/5,2)$ or $(-0.2,2)$ .

Explanation:

We can also use elimination to solve this system of linear equations.

$"Equation 1":$ $5x-2y=-5$

$"Equation 2":$ $y-5x=3$

Rewrite Equation 2:

$-5x+y=3$

Add: Equation 1 + Equation 2:

$-5x + color(white)(.)y =color(white)(....)3$
$ul(color(white)(..)5x-2y=-5)$
$color(white)(........)-y=-2$

Divide both sides by $-1$ . This will reverse the signs.

$y=2$

Substitute $2$ for $y$ in Equation 2 (either equation will work).

$2-5x=3$

Subtract $2$ from both sides.

$-5x=3-2$

$-5x=1$

Divide both sides by $-5$ .

$x=-1/5$

The solution is $(-1/5,2)$ or $(-0.2,2)$ .

graph{(5x-2y+5)(y-5x-3)=0 [-10, 10, -5, 5]}

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What are x and y if $5x - 2y = -5$ and $y - 5x = 3$ ?

2 Answers

Explanation:

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