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Lostsunrise [7]
2 years ago
9

Solve for x

alt="\bold{4x - 64 = 0}" align="absmiddle" class="latex-formula">

ty! ~​
Mathematics
2 answers:
eimsori [14]2 years ago
5 0

\Large\maltese\star\underline{\textbf{What is Asked}}\star\maltese

  • Solve for x.
  • \bf{4x-64=0}.

\Large\maltese\star\underline{\textbf{The required answer is below -:}}\star\maltese

First we need to add 64 to both sides. That way, we will be one step closer to solving this in terms of x.

\bf{4x-64+64=0+64} | on the left side the 64's sum to zero

\bf{4x=0+64} | the right side is now 64

\bf{4x=64} | divide the equation by 4

\bf{x=16}

\cline{1-2}

\gray\star\bf{Result / Required\;Answer:}

                  \star\blacksquare\Large\boxed{\boxed{\bf{X=16.}}}\blacksquare\star

<h2>Key to solving this problem -:</h2>

When you're solving an equation in terms of x, or any other variable, use inverse operations to solve it. For instance, if something is added to x, use subtraction. If something is subtracted to x, use addition.

If x is multiplied by something, use division. If x is divided by something, use multiplication.

\infty\LARGE\boxed{\bf{\brace aesthetic\not1\theta\ell}}\infty

ivolga24 [154]2 years ago
3 0

Answer:

\tt x = 16

Step-by-step explanation:

\tt 4x-64=0

Add 64 to both sides.

\tt 4x - 64 + 64 =  0+ 64

Simplify.

\tt 4x = 64

Divide both sides by 4.

\tt \cfrac{4x}{4} =  \cfrac{64}{4}

Simplify.

\tt x = 16

Done!!!

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Please help me I don’t understand how to do it. If you can please use a data table to explain how to do it.
Ksivusya [100]

Answer:

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Step-by-step explanation:

Let us have x liters of the .7 mixture and y liters of the .6 mixture.

We want total liters to be 3.5 which means we need x+y=3.5 . I don't like the decimal in the equation so I'm going to multiply both sides by 10: 10x+10y=35

We also need the .7x+.6y=.62(3.5) . I hate the decimal business going on in this question so I'm going to multiply by 1000 which gives 700x+600y=62(35) .

So we have the system

700x+600y=62(35)

10x+10y=35

I'm going to setup this up for linear combination/elimination.

Multiply bottom equation by 60.

700x+600y=62(35)

600x+600y=60(35)

Subtract equations (bottom from top):

(700-600)x+(600-600)y=35(62-60)

Simplify:

100x+0y=35(2)

100x=70

Divide both sides by 100:

x=70/100

x=7/10

Going back to x+y=3.5 along with x=7/10 or .7 liters to find y.

y=3.5-x with x=.7

y=3.5-0.7

y=2.8

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Pic added.

Another way to do problem:

.7x+.6(3.5-x)=.62(3.5)

Multiply and distribute:

.7x+2.1-.6x=2.17

Combine like terms on left:

.1x+2.1=2.17

Subtract 2.1 on both sides:

.1x=.07

Multiply both sides by 10:

x=0.7 liters

Now the other acid solution is 3.5-0.7 which is 2.8 litera.

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Step-by-step explanation:

because u cant be wrong with going with none of the above due the fact that they could be decimals and they didn't want to write out the full number therefore making it incorrect. No need to thank me.

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