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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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Answer:

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Step-by-step explanation:

Input 6 where a is so then do -7 x 6 which would be -42

the equation is now b = -1 - 42

-1 -42 = -43

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F(x)= −x^2+10x−6<br><br> Find f(−5)
Nina [5.8K]

Answer:

f(-5) = -81

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -x² + 10x - 6

f(-5) is x = -5

<u>Step 2: Evaluate</u>

  1. Substitute:                    f(-5) = -(-5)² + 10(-5) - 6
  2. Exponents:                   f(-5) = -(25) + 10(-5) - 6
  3. Multiply:                        f(-5) = -25 - 50 - 6
  4. Subtract:                       f(-5) = -75 - 6
  5. Subtract:                       f(-5) = -81
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2 years ago
10m + 12p - 8m - p<br> combine like terms to simplify expressions.
vladimir2022 [97]

Answer:

11p + 2m

Step-by-step explanation:

10m - 8m = 2m

12p - p = 11p!

So Overall it would be

= 11p + 2m

5 0
3 years ago
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