What are x and y if #10x+6y=0# and #-7x+2y=31#?

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Answer 1 · 2018-05-09T04:42:58

#color(crimson)(x = -3, y = 5#

#10 x + 6 y = 0, " Eqn (1)"#

#-7x + 2y = 31, " Eqn (2)"#

#21x - 6y = -93, color(maroon)(" Eqn (3) = -3 * Eqn (2)"#

Adding Eqns (1), (3),

#31x = -93#

#color(crimson)(x = -3#

Substituting value of x in Eqn (2),

#21 +2y = 31#

#2y = 31-21 = 10, color(crimson)(y = 5#