Answer:
- 18
- 35
- 9/2
Step-by-step explanation:
Hi student! Let me help you out on this question.
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<em> ↪</em>
<h3>
![\dag](https://tex.z-dn.net/?f=%5Cdag)
SOLVING EQUATIONS
![\dag](https://tex.z-dn.net/?f=%5Cdag)
</h3>
In the first equation, we can add up the x's and then solve.
![\boldsymbol{x+x+x=54}](https://tex.z-dn.net/?f=%5Cboldsymbol%7Bx%2Bx%2Bx%3D54%7D)
.
Next, divide both sides by 3.
![\mid\overline{\underline{\boldsymbol{18}}}\mid](https://tex.z-dn.net/?f=%5Cmid%5Coverline%7B%5Cunderline%7B%5Cboldsymbol%7B18%7D%7D%7D%5Cmid)
Problem Solved!
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Here we should multiply both sides by 5.
![\boldsymbol{\cfrac{y}{\not5}\cdot \not5=7\cdot5}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Ccfrac%7By%7D%7B%5Cnot5%7D%5Ccdot%20%5Cnot5%3D7%5Ccdot5%7D)
On the left, the 5's cancel, and we are left with y.
On the right we have 7*5, which is 35.
,
![\boldsymbol{y=35}](https://tex.z-dn.net/?f=%5Cboldsymbol%7By%3D35%7D)
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Here we should subtract 6 from both sides.
![\boldsymbol{4t+6-6=24-6}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B4t%2B6-6%3D24-6%7D)
![\boldsymbol{4t=18}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B4t%3D18%7D)
Next, divide both sides by 4.
. This fraction can be reduced, if we divide the numerator, 18, and the denominator, by 2:
. Which is our answer, written as an improper fraction.
<em>Written as a mixed number ↓</em>
<em />![\boldsymbol{4\cfrac{1}{2}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B4%5Ccfrac%7B1%7D%7B2%7D%7D)
<em>Written as a decimal:</em>
<em />![\boldsymbol{t=4.5}](https://tex.z-dn.net/?f=%5Cboldsymbol%7Bt%3D4.5%7D)
Hope that this helped! Best wishes.
![\star\bigstar\boldsymbol{Reach\:far.\:Aim\:high. \ Dream \ big.}}](https://tex.z-dn.net/?f=%5Cstar%5Cbigstar%5Cboldsymbol%7BReach%5C%3Afar.%5C%3AAim%5C%3Ahigh.%20%5C%20Dream%20%5C%20big.%7D%7D)
<em>◆◆-Greetings!-◈◈</em>
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