How do you solve the system of equations #5x + 3y = 13# and #- 5x - 12y = 23# by elimination?

1 Answer
sankarankalyanam
Jul 2, 2018

#color(orange)(x = 5, y = -4#

Explanation:

#5x = 3y = 13, " Eqn (1)"#

#-5x - 12y = 23, " Eqn (2)"#

Adding Eqns (1) & (2),

#cancel(5x) + 3y - cancel(5x) - 12y = 13 + 23#

#3y - 12y = 36#

#-9y = 36 ' or " y = 36/-9 = -4#

Substituting the value of y in Eqn (1),

#5x + (3 * -4) = 13#

#5x = 25 or x = 25/5 = 5#

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