SOLUTION: Five times a number plus 2 equals 4 less than seven times the number. To find this number, denote it by x. (A) write a formula that represents five times x plus 2. (b) write

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Five times a number plus 2 equals 4 less than seven times the number. To find this number, denote it by x. (A) write a formula that represents five times x plus 2. (b) write       Log On


   



Question 203373This question is from textbook
: Five times a number plus 2 equals 4 less than seven times the number. To find this number, denote it by x.
(A) write a formula that represents five times x plus 2.
(b) write a formula that represents 4 less than seven times x.
write an equation that says that the expression in (a) equals the expression in (b).
solve this equation.
This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Five times a number plus 2 equals 4 less than seven times the number. To find this number, denote it by x.
(A) write a formula that represents five times x plus 2.
5x+2
or
5(x+2)
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(b) write a formula that represents 4 less than seven times x.
7x-4
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write an equation that says that the expression in (a) equals the expression in (b).
5x+2 = 7x-2
2x = 4
x = 2
OR
5(x+2)=7x-4
5x+10 = 7x-4
2x = 14
x = 7
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Comment: Your 1st verbal statement can be interpreted
in two ways. It is a good example to show you that
the English language is not always clear and that
parentheses are important when it comes to writing
expressions or equations.
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Cheers,
Stan H.
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