How do you solve the following equations by substitution?: $5x - 2y = -5$ and $y - 5x = 3$ ?

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Answer 1 · 2018-05-09T04:20:32

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

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

$5x = 2y - 5$

$x = (2y - 5) / 5$

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

Substituting value of x in terms of y in Eqn (2),

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

$-2y + 5 + y = 3$

$-2y + y = 3 - 5$

$color(indigo)(y = 2$

Substituting value of y in Eqn (1),

$5x - 4 =- 5$

$color(indigo)(x = -1/5$

How do you solve the following equations by substitution?: 5x - 2y = -55x - 2y = -5 and y - 5x = 3y - 5x = 3?