How do you solve the following system: $5x-2y=-26, 6x + 7y = -9$ ?

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How do you solve the following system: $5x-2y=-26, 6x + 7y = -9$ ?

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Answer 1 · 2018-04-08T03:12:43

$x = -200/47$ and $y = 111/47$

Explanation:

$5x - 2y = -26 color(white)(..)……(1)$
$6x + 7y = -9 color(white)(..) ……(2)$

Multiply equation $(1)$ by $7$ and equation $(2)$ by $2$

$35x - 14y = -182$
$12x + 14y = -18$

Add both the equations

$35x - 14y + 12x + 14y = -182 - 18$

$47x = -200$

$color(blue)(x = -200/47$

Substitute $x = -200/47$ in equation $(1)$

$5(-200/47) - 2y = -26$

$-1000/47 - 2y = -26$

$2y = -1000/47 + 26$

$2y = -1000/47 + (26 × 47/47)$

$2y = -1000/47 + 1222/47$

$2y = (-1000 + 1222)/47$

$2y = 222/47$

$y = 222/(2 × 47)$

$color(blue)(y = 111/47)$

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How do you solve the following system: $5x-2y=-26, 6x + 7y = -9$ ?

1 Answer

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How do you solve the following system: 5x-2y=-26, 6x + 7y = -9 5x-2y=-26, 6x + 7y = -9 ?

1 Answer

Explanation:

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How do you solve the following system: $5x-2y=-26, 6x + 7y = -9$ ?