How do you solve the following system: $8x-y=19 , 7x+15y=32$ ?

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Answer 1 · 2018-06-20T07:23:36

$color(maroon)(x = 2.496, y = 0.9685$

$8x - y = 19, " Eqn (1)"$

$7x + 15y = 32, " Eqn (2)"$

$120x - 15y = 285, " Eqn (3)$ , $color(crimson)((15 * "Eqn (1)")$

Adding eqns (2) & (3),

$127x = 317, " or " x = 317/127 = 2.496$ #

Substituting the value of x in Eqn (1),

$(8*317) / 127 - y = 19$

$y = (8*317) / 127 - 19 = 0.9685$

How do you solve the following system: 8x-y=19 , 7x+15y=32 8x-y=19 , 7x+15y=32 ?