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Mnenie [13.5K]
3 years ago
10

Solve for a, 1/3 + a = 5/4

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0

Answer:

\frac{1}{3}  + a =  \frac{5}{4}

a =  \frac{5}{4}  -  \frac{1}{3}

a =  \frac{15 - 4}{12}

a =  \frac{11}{12}

Luden [163]3 years ago
4 0

Answer:

a = \frac{11}{12}

Step-by-step explanation:

a = \frac{5}{4} - \frac{1}{3}

a = \frac{11}{12}

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Where did the 9/4 come from?
motikmotik

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Ok so this concept is kind of hard to explain, but basically the two equations are equal because you are adding 9/4 and then subtracting 9/4, so you just end up with 0. The reason you do that is so you can make the (x + 3/2)^2 part, which you wouldn't be able to do without the 9/4/

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4 years ago
What's the equation for twice the difference of a number and 6 is equal to three times the sum of the number and 3
alukav5142 [94]
2(x-6)=3(x+3)

Let's solve your equation step-by-step.

<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)

</span></span></span>Step 1: Simplify both sides of the equation.

<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)

</span></span></span><span>Simplify: (Show steps)

</span><span><span><span>2x</span>−12</span>=<span><span>3x</span>+9

</span></span>Step 2: Subtract 3x from both sides.

<span><span><span><span>2x</span>−12</span>−<span>3x</span></span>=<span><span><span>3x</span>+9</span>−<span>3x

</span></span></span><span><span><span>−x</span>−12</span>=9

</span>Step 3: Add 12 to both sides.

<span><span><span><span>−x</span>−12</span>+12</span>=<span>9+12

</span></span><span><span>−x</span>=21

</span>Step 4: Divide both sides by -1.

<span><span><span>−x/</span><span>−1</span></span>=<span>21/<span>−1

</span></span></span><span>x=<span>−21

</span></span>Answer:

<span>x=<span>−<span>21</span></span></span>
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