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#