1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ale4655 [162]
3 years ago
12

What is the x-value in the solution to this system of linear equations?

Mathematics
2 answers:
Svet_ta [14]3 years ago
4 0

Answer:

x = 4

Step-by-step explanation:

2x - y = 11

x + 3y = -5

To calculate the value of x , firstly we need to find value of y.

solve for y

  • 2x - y = 11

subtract 2x from both side

  • 2x - 2x - y = 11 - 2x
  • -y = 11 - 2x

change the sign of both side of equation

  • y = -11 + 2x

rewrite

  • y = 2x - 11

<u>Solve for x</u>

  • y = 2x - 11
  • x + 3y = -5

substitute the value of y in the equation

  • x + 3( 2x - 11 ) = -5

distribute 3

  • x + 3 × 2x - 3× 11 = -5
  • x + 6x - 33 = -5

combine like terms

  • 7x - 33 = -5

Add 33 on both side

  • 7x - 33 + 33 = -5 + 33
  • 7x = 28

divide both side by 7

  • 7x / 7 = 28 / 7
  • x = 4

Veronika [31]3 years ago
3 0

Answer:

4

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

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

2x - y = 11

x + 3y = -5

<u>Step 2: Rewrite Systems</u>

2x - y = 11

  1. [Subtraction Property of Equality] Subtract 2x on both sides:                      -y = 11 - 2x
  2. [Division Property of Equality] Divide -1 on both sides:                                  y = 2x - 11

<u>Step 3: Redefine Systems</u>

y = 2x - 11

x + 3y = -5

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                        x + 3(2x - 11) = -5
  2. [Distributive Property] Distribute 3:                                                                 x + 6x - 33 = -5
  3. Combine like terms:                                                                                         7x - 33 = -5
  4. [Addition Property of Equality] Add 33 on both sides:                                  7x = 28
  5. [Division Property of Equality] Divide 7 on both sides:                                  x = 4
You might be interested in
The coefficient of the term 76x2 is: <br><br> (2 is the exponent of 76x)
Lady_Fox [76]
The definition of a coefficient is the number BEFORE the variable. So in 76x^2, the coefficient is 76.<span>
</span><span>
</span>
6 0
3 years ago
Oprah makes $156.00 per day plus an additional 8% commission on her sales. Which equation could be used to find how much Oprah m
Natasha_Volkova [10]

Answer:

The answer is <u>C.</u>  0.08x + $156.00 = r.

Step-by-step explanation:

Given:

Oprah makes $156.00 per day plus an additional 8% commission on her sales.

She sold x dollars worth.

Now, to find equation how much Oprah made in one day, r.

As. given in question:

She makes per day = $156.00.

Worth of sold = x.

Commision on her sales = 8%.

And one day = r.

Now, to get the equation Oprah made in one day:

r=\$156.00+8\%\ of\ x.

r=\$156.00+\frac{8}{100} \times x

r=\$156.00+0.08\times x

r=\$156.00+0.08x

r=0.08x+\$156.00

0.08x+\$156.00=r

<em>Thus, the equation is</em>  0.08x+\$156.00=r.

Therefore, the answer is C.  0.08x + $156.00 = r.

5 0
3 years ago
Explain how you know 7(2 - 3n) and (2 - 3n) x 7 are equivalent expressions.​
iogann1982 [59]

Answer:

When you distribute the 7 to each set you get 14-21n and 14-21n

Step-by-step explanation:

5 0
2 years ago
Given: -1/4x &gt; 4. Choose the solution set.
vampirchik [111]

Answer:

x < -16, none of the solution sets are correct for the given equation.

Step-by-step explanation:

-1/4x > 4, multiply both sides by -4, don't forget when you multiply or divide by a negative you have to flip the sign.

x < -16

none of the solution sets are correct for the given equation.

5 0
3 years ago
What is the length of line segment FE?
Jobisdone [24]

Answer:

(7,-1)because it is problem of vector lesson so that we have to use formula of vector

6 0
3 years ago
Read 2 more answers
Other questions:
  • 14×(2+4) distributive property
    13·2 answers
  • It takes three identical water pumps 8 hours to fill a pool.
    7·1 answer
  • Amaya's test scores in Algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 8
    8·1 answer
  • What is the range of the function f(x) = sqrt x+3   – 7?
    15·2 answers
  • SOMEONE PLZ HELP ME The two box-and-whisker plots below show the scores on a math exam for two classes. What 2 things do the int
    8·1 answer
  • $422.00 per month in a investment plan. It pays 3% APR. HOW MUCH $$ will I have in 25 years.
    5·1 answer
  • If y varies inversely as x and y = 27 when x = 2, find x when y = 9. *
    9·1 answer
  • What equation is graphed in this figure?
    10·1 answer
  • Six friends all use $2-off coupons to buy themselves movie tickets.
    6·2 answers
  • HelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelp
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!