Question

Solve x+x+x=54

Solve y\5=7

Solve 4t+6=24

Answer 1

Answer:

1. 18
2. 35
3. 9/2

Step-by-step explanation:

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$\dag$ SOLVING EQUATIONS $\dag$

In the first equation, we can add up the x's and then solve.

$\boldsymbol{x+x+x=54}$

$\boldsymbol{3x=54}$.

Next, divide both sides by 3.

$\mid\overline{\underline{\boldsymbol{18}}}\mid$

Problem Solved!

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Here we should multiply both sides by 5.

$\boldsymbol{\cfrac{y}{\not5}\cdot \not5=7\cdot5}$

On the left, the 5's cancel, and we are left with y.

On the right we have 7*5, which is 35.

$\therefore$,

$\boldsymbol{y=35}$

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Here we should subtract 6 from both sides.

$\boldsymbol{4t+6-6=24-6}$

$\boldsymbol{4t=18}$

Next, divide both sides by 4.

$\boldsymbol{t=\cfrac{18}{4}}$. This fraction can be reduced, if we divide the numerator, 18, and the denominator, by 2:

$\boldsymbol{t=\cfrac{9}{2}}$. Which is our answer, written as an improper fraction.

Written as a mixed number ↓

$\boldsymbol{4\cfrac{1}{2}}$

Written as a decimal:

$\boldsymbol{t=4.5}$

Hope that this helped! Best wishes.

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Answer 2

Exercise number  1

• x + x + x = 54

Combine x and x to get 2x.

• 2x + x = 54

Combine 2x and x to get 3x.

• 3x = 54

Divide both sides by 3.

• x = 54 / 3

Divide 54 by 3 to get 18.

• x = 18 ===> Answer

Verification

Let x=18.

• 18 + 18 + 18 = 54
• 36 + 18 = 54
• 54 = 54

Checked ✅

Exercise number 2

• y / 5=7

Multiply both sides by 5.

• y = 7 x 5

Multiply 7 and 5 to get 35.

• y = 35 ===> Answer

Verification

Let y=35.

• 35 / 5 = 7
• 7 = 7

Checked ✅

Exercise number 3.

• 4t + 6 = 24

Subtract 6 from both sides.

• 4t= 24 - 6

Subtract 6 from 24 to get 18.

• 4t =18

Divide both sides by 4.

• t = 18 / 4

Reduce the fraction 18/4 to its lowest expression by extracting and canceling 2.

• t = 9 / 2 ===> Answer

Verification

Let t = 9/2.

1. $\sf{4\times\dfrac{9}{2}+6=24 }$
2. $\sf{\dfrac{4\times9}{2}+6=24 }$
3. $\sf{\dfrac{36}{2}+6=24 }$
4. $\sf{18+6=24 }$
5. $\sf{24=24}$

Checked ✅

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