SOLUTION: one number is 4 less than 3 times a second number. if 3 more than twice the first number is decreased by twice the second, the result is 11.
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-> SOLUTION: one number is 4 less than 3 times a second number. if 3 more than twice the first number is decreased by twice the second, the result is 11.
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Question 134615: one number is 4 less than 3 times a second number. if 3 more than twice the first number is decreased by twice the second, the result is 11. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Let x = "one number"
Let y = "a second number"
:
Write an equation for each statement:
:
"one number is 4 less than 3 times a second number."
x = 3y - 4
:
"if 3 more than twice the first number is decreased by twice the second, the result is 11."
2x + 3 - 2y = 11
2x - 2y = 11 - 3
2x - 2y = 8
:
Replace x with (3y-4) from the 1st statement, and solve for y
2(3y-4) - 2y = 8
6y - 8 - 2y = 8
4y = 8 + 8
4y = 16
y = 4
:
x = 3(4) - 4
x = 8
:
:
Check solution in the statement:
"if 3 more than twice the first number is decreased by twice the second, the result is 11.
2(8) + 3 - 2(4) = 11
16 + 3 - 8 = 11; confirms our solution
