How do you solve the system of equations and enter the solution as an ordered pair 7x - 5y = 31 and 4x - 7y = -3?
1 Answer
Apr 8, 2018
Explanation:
#7x - 5y = 31 color(white)(...)……(1)#
#4x - 7y = -3 color(white)(...) …….(2)#
Multiply first equation by
Now, we have
#49x - 35y = 217#
#20x - 35y = -15#
Subtract second equation from first one
#(49x - 35y) - (20x - 35y) = 217 - (-15)#
#49x - 35y - 20x + 35y = 217 + 15#
#49x - 20x = 232#
#29x = 232#
#x = 232/29#
#color(blue)(x = 8)#
Substitute
#7(8) - 5y = 31#
#56 - 5y = 31#
#5y = 56 - 31#
#y = (56 - 31)/5#
#color(blue)(y = 5)#