If 2x + 3y = 17 and 3x + 4y = 24, then what is 5x +7y?

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Answer 1 · 2018-05-09T04:37:42

#color(indigo)(5x + 7y = (5 * 4) + (7 * 3) = 41#

#2x + 3y = 17, " Eqn (1)"#

#6x + 9y = 51, color(red)(" Eqn (3) = 3 * Eqn (1)"#

#3x + 4y = 24, " Eqn (2)"#

#6x + 8y = 48, color(red)(" Eqn (4) = 2 * Eqn (2)"#

#6x - 6x + 9y - 8y = 51 - 48, color(purple)(" Eqn (3) - Eqn (4)"#

#y = 3#

Substituting value of y in eqn 91),

#2x + 9 = 17#

#2x = 8, x = 4#

#color(indigo)(5x + 7y = (5 * 4) + (7 * 3) = 41#