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Arte-miy333 [17]
2 years ago
9

What is the solution to the following system of equations?

Mathematics
1 answer:
babunello [35]2 years ago
3 0

Answer:

simple quadratics

Step-by-step explanation:

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144=12x <br> 45 =4x-27 <br> 2x-2=14 <br> 12x=44-10x does any one kno these questions?
Free_Kalibri [48]

Hello russell6333!

\huge \boxed{\mathfrak{Question} \downarrow}

Solve for x.

  1. 144 = 12x
  2. 45 = 4x - 27
  3. 2x - 2 = 14
  4. 12x = 44 - 10x

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

1) \:  \:  \: 144 = 12x \\  \frac{144}{12}  = x \\ \boxed{ \boxed{  \bf12 = x}}

__________________

2) \:  \:  \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\  \frac{72}{4}  = x \\  \boxed{ \boxed { \bf18 = x }}

__________________

3) \:  \:  \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x =  \frac{12}{2}  \\ \boxed{  \boxed{ \bf \: x = 6}}

__________________

4) \:  \:  \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x =  \frac{44}{22}  \\  \boxed{\boxed{  \bf \: x = 2}}

__________________

<h3><u>NOTE </u><u>:</u><u>-</u></h3>
  • To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
  • Remember that the signs & operations will change when you bring a term to the other side of the equation.
  • So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

__________________

Hope it'll help you!

ℓu¢αzz ッ

8 0
3 years ago
Read 2 more answers
An atom of a certain element has 37 protons, 37 electrons, and a mass number of 85. How many neutrons are
Harrizon [31]

Answer:

There will be 48 neutrons.

Step-by-step explanation:

Hope this helps and have a great day :)

5 0
3 years ago
Why is this simplified by combining like terms <br> 3(4x+5) +2
Inga [223]
3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17
3 0
3 years ago
An item is regularly priced at $31. It is now priced at a discount of 55% off the regular price.
Alekssandra [29.7K]
17.05 I think..
this could be it idrk what it is
5 0
3 years ago
A car dealership sells suv's and passenger cars. For a recent year, 90 more suv's were sold than passenger cars. If a total of 5
Lunna [17]

Answer:

300 SUVs were sold.

210 Passenger cars were sold.

Step-by-step explanation:

Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.

The total amount of vehicles sold was 510, so:

S+P=510

90 more SUVs were sold than passenger cars. In other words:

S=90+P

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

90+P+P=510

Combine like terms:

2P+90=510

Subtract 90 from both sides:

2P=420

Divide both sides by 2:

P=210

So, the 210 passenger cars were sold.

This means that 210+90=300 SUVs were sold.

And we're done!

7 0
3 years ago
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