(Solved) Write the algebraic expression using one variable for the following statement. Solve the equation and give all

irina

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10 years ago

Write the algebraic expression using one variable for the following statement. Solve the equation and give all

Write the algebraic expression using one variable for the following statement. Solve the equation and give all three answers.

Equation (1pt)

Solution (1pt)

The sum of the third and twice the first of three consecutive odd integers is 49. Find all three consecutive odd integers.

Im sorry to ask such a hard question, But i really dont know how to do this, I have read over the lesson, and if someone can explain if if/when they help me! It would be greatly appreciated!
Thanks all!

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toyee

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10 years ago

let x be the first integer
x+2 is the second
x+4 is the third"The sum of the third..." x+4"... and twice the first..." 2*x or 2x"... is 49." = 49

x+4 + 2x = 49
3x + 4 = 49
3x = 45
x = 15

so the integers are 15, 17, and 19

Check:
19 + 2(15) = 19 + 30 = 49

Best of luck!

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fifamo

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10 years ago

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8kjw3

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10 years ago

Let x be your first odd integer, then the second is x+2 and the third is x+4 since adding two to an odd integer gives you the next odd integer. Now the problem says: the sum of the third and twice the first, this is (x+4)+2x = 49 this is your equation, which you can simplify as: 3x+4=49 (note that x+2x=3x).
Now solve for x, first substract 4 on each side:
3x+4-4=49-4
3x=45, now divide both sides by 3:
3x/3 = 45/3
x=15, this is your first integer, then
x+2 = 17, your second integer
x+4 = 19, your third integer.

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irina Author

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10 years ago

Thx all

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