So, you have 3/4x + 5/8 = 4x. We can do this in two ways. Since fractions are harder to deal with, we can turn the fractions into whole numbers.
First we need to find the LCD (Least Common Denominator) between 4 and 8, which is 8. So multiply the 3/4x by 2/2, which gives you an equivalent fraction of 6/8x.
So now we have 6/8x + 5/8 = 4x. Now multiply both sides by 8, to get rid of the denominators of the fractions. That gives us 6x + 5 = 32x. Now use the subtraction property of equality to subtract 6x from both sides giving us 5 = 26x.
Now you can use the division property of equality to divide 26 on both sides, which gives us x = 5/26.
Hope this helps. :D Feel free to ask any other questions, and if you have any questions about my explanation, don't hesitate to ask.
Answer:
24
Step-by-step explanation:
Answer:
<h3> The equation has one valid solution and no extraneous of solutions.</h3>
Step-by-step explanation:
Given the expression;
4x/3x+1 = x/2x+10
We are to get the nature of the value of x
Cross multiply;
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
Collect like terms;
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
-5x² = 39x
-5x = 39
x = -39/5
<em>Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.</em>
<em></em>
<em></em>
The numbers are: "7 " and "21 " .
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Explanation:
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The numbers are: "x" and "x + 14" .
x + (x + 14) = 28 . Solve for "x" ; and then solve for "x + 14" .
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→ x + (x + 14) = 28 ;
Rewrite as:
→ x + x + 14 = 28 ;
→ 1x + 1x + 14 = 28 ;
→ 2x + 14 = 28 ;
Subtract "14" from each side of the equation;
→ 2x + 14 − 14 = 28 <span>− 14 ;
</span> → 2x = 14 ;
Divide EACH SIDE of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 2x / 2 = 14 / 2 ;
→ x = 7 .
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So; one of the numbers is: " 7 " .
The other number is: " x + 14 " ; which equals: " 7 + 14 = 21".
The other number is: "21 " .
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The numbers are: "7 " and "21 " .
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Answer:
20
Step-by-step explanation:
there are 10 2s
2×10 =20
