How do you solve the system of equations #9x - 2y = 25# and #4x - 5y = 7#?

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Answer 1 · 2018-08-06T02:43:16

#color(maroon)(x = 3, y = 1#

#9x - 2y = 25# Eqn (1)

#4x - 5y = 7# Eqn (2)

#36x - 8y - (36x - 45y) = 100 - 63, color(red)(" Eqn (1) * 4 - Eqn (2) * 9 "#

#-8y + 45y = 37#

#37y = 37 " or " y = 1#

Substituting value of y in Eqn (1),

#9x - 2 * 1 = 25#

#9x = 25 + 2 = 27#

#9x = 27 " or " x = 27/9 = 3#