What are x and y if $10x+6y=0$ and $-7x+2y=31$ ?

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Answer 1 · 2018-05-09T04:42:58

$color(crimson)(x = -3, y = 5$

$10 x + 6 y = 0, " Eqn (1)"$

$-7x + 2y = 31, " Eqn (2)"$

$21x - 6y = -93, color(maroon)(" Eqn (3) = -3 * Eqn (2)"$

Adding Eqns (1), (3),

$31x = -93$

$color(crimson)(x = -3$

Substituting value of x in Eqn (2),

$21 +2y = 31$

$2y = 31-21 = 10, color(crimson)(y = 5$

What are x and y if 10x+6y=010x+6y=0 and -7x+2y=31-7x+2y=31?