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murzikaleks [220]
3 years ago
6

4. Solve the following system of equations for x.

Mathematics
1 answer:
Ber [7]3 years ago
5 0

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

\large{2x + 3(6x + 22) =  - 14}

Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

  • x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

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The function f(t) = 20 sin (pi over 5t) + 12 models the temperature of a periodic chemical reaction where t represents time in h
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The answer for the exercise shown above is the second option, which is: <span>Maximum: 32°; minimum: −8°; period: 10 hours.
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3 years ago
Solve the following equations x1/3=2 <br> Y-2=9<br> (2s)1/2=9<br> 2n-1=16
Nookie1986 [14]

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2n - 1 = 16 \\  =  > 2n = 16 + 1 \\  =  > 2n = 17 \\  =  > n =  \frac{17}{2}  = 8.5

<h3>The answers are :</h3><h3>x = 6</h3><h3>y = 11</h3><h3>s = 9</h3><h3>n = 8.5</h3><h3>Hope it helps!</h3><h3 />

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2 years ago
Can someone simply <br> 1.8y-9.3y-6.3y
Olenka [21]

Answer:

your answer would be -13.8y

3 0
3 years ago
Ratio of two complementary angles is 3:7. What's the measures of both angles
Advocard [28]
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Each 'part' is 9.
3:7 * 9 = 27:63
One angle is 27 degrees and the other is 63 degrees.
3 0
3 years ago
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