SOLUTION: This is a system of equation word problem! Four times one of two numbers is equal to seven times the second number. The sum of the two numbers is 22. Variables X= Y= Syste

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Question 954272: This is a system of equation word problem!
Four times one of two numbers is equal to seven times the second number. The sum of the two numbers is 22.
Variables
X=
Y=
System=
Solution=
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Four times one of two numbers is equal to seven times the second number. The sum of the two numbers is 22.
4x=7y
x=%287%2F4%29y
x%2By=22 Substitute for x.
%287%2F4%29y%2By=22
11%2F4%29y=22 Multiply each side by 4.
11y=88 Divide each side by 11.
y=8 ANSWER 1: One of the numbers is 8.
x=%287%2F4%29y=%287%2F4%298=56%2F4=14 ANSWER 2: The other number is 14.
CHECK:
4x=7y
4(14)=7(8)
56=56