How do you solve this set of linear equations: #3x + 2y + 6= - 17+ 7y - x; 3x + x = y + 5#?

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Answer 1 · 2018-06-20T09:13:35

#color(maroon)(x = 3, y = 7#

#3x + 2y + 6 = -17 + 7y - x#

#4x - 5y = -23, " Eqn (1)"#

#3x + x = y + 5#

#4x - y = 5, " Eqn (2)"#

Subtracting Eqn (1) from Eqn (2)#,

#cancel(4x) - y - cancel(4x) + 5y = 5 + 23#

#4y = 28 ' or " y = 7#

Substituting the value of y in Eqn (2),

#4x - 7 = 5#

#x = (5 + 7) / 4 = 3#