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

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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#