How do you solve this system of equations: #7x - 2y = 12; 4x + 5y = 13#?

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Answer 1 · 2018-03-05T16:06:38

#color(blue)(x = 2, y = 1)#

#7x - 2y = 12# Eqn (1)

#7x - 12 = 2y#

#y = (7x) / 2 - 6#

#4x + 5y = 13# Eqn (2)

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

#4x + 5((7x/2) - 6) = 13#

#4x + (35x)/2 = 13 + 30 = 43#

#43x = 2 * 43 = 86#

#x = 2#

Substituting value of x in Eqn (2),

#y = (7*2)/2 - 6 = 1#