How do you solve the system of equations $-4x + 5y = 6$ and $3x + y = - 14$ ?

Question

1889 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-09T04:10:43

$color(purple)(x = -4, y = -2$

$-4x + 5y = 6, " Eqn (1)"$

$3x + y = -14, " Eqn (2)"$

$-15x - 5y = 70, " Eqn (2) * -5"$

$"Adding Eqn (1) and En (2) * -5"$ ,

$-19x = 76$

$color(purple)(x = -76/19 = -4$

$"Substituting value of x in Eqn (1)'$ ,

$16 + 5y = 6$

$color(purple)(y = (6-16)/5 = -2$

How do you solve the system of equations -4x + 5y = 6-4x + 5y = 6 and 3x + y = - 143x + y = - 14?