A certain number is three more than five times another number. The difference of the two numbers is 11.?

All I need is the system of equations for the problem.

1 Answer
Jim G.
Jan 29, 2018

#13" and "2#

Explanation:

#"let the numbers be x and y"color(white)(x);x>y#

#"then "x=5y+3to(1)#

#"and "x-y=11to(2)#

#"substitute "x=5y+3" into equation "(2)#

#rArr5y+3-y=11#

#rArr4y+3=11#

#"subtract 3 from both sides"#

#rArr4y=8rArry=2#

#"substitute "y=2" into equation "(1)#

#rArrx=(5xx2)+3=10+3=13#

#"the 2 numbers are 13 and 2"#

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