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lara31 [8.8K]
2 years ago
7

Which of the following is the solution to the system of linear equations x=2y + 5 x/3-y=4/3

Mathematics
2 answers:
Alex73 [517]2 years ago
3 0

Answer:

(7, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

x = 2y + 5

x/3 - y = 4/3

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

  1. Substitute:                              (2y + 5)/3 - y = 4/3
  2. Multiply 3 on both sides:       2y + 5 - 3y = 4
  3. Combine like terms:               -y + 5 = 4
  4. Isolate <em>y</em> term:                         -y = -1
  5. Isolate <em>y</em>:                                  y = 1

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define:                    x = 2y + 5
  2. Substitute:              x = 2(1) + 5
  3. Multiply:                  x = 2 + 5
  4. Add:                        x = 7

And we have our final answer!

d1i1m1o1n [39]2 years ago
3 0

Answer:

bro any pic for the question its confusing from the text

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max2010maxim [7]

Answer:

15.09

Step-by-step explanation:

Hope this helps!

8 0
2 years ago
A biology test is worth 100 points and has 36 questions.
Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

M + E= 36 --- Number of questions

2M + 6E = 100 --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in M + E= 36

E = 36 - M

Substitute 36 - M for E in 2M + 6E = 100

2M + 6(36 - M) = 100

2M + 216 - 6M = 100

Collect Like Terms

2M - 6M = 100 - 216

-4M = - 116

Divide both sides by -4

M = \frac{-116}{-4}

M = 29

Substitute 29 for M in E = 36 - M

E = 36 - 29

E = 7

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

2M + 6E = 100 would be:

4M + xE = 100

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

4 * 29 + x * 7 = 100

116 + 7x = 100

Subtract 116 from both sides

116-116 + 7x = 100 -116

7x = 100-116

7x = -16

Make x the subject

x = -\frac{16}{7}

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0
2 years ago
How to improve in math?
Arte-miy333 [17]
The best way is to do problems over and over again and making mistakes with them.There is no point in doing them if you get correct answers.
When you make mistakes you ask someone what’s wrong and try not to make that mistake again.
That’s how I became a master at maths and physics.

As for help with calculus the important thing is to understand how graphing works.
Once you got that do more questions.
So basically to summarise make mistakes don’t repeat and find out how it works

Hope this helps:)
7 0
3 years ago
PLEASE HELP!!! Which number line shows the solution 2/3x-5&gt;3
matrenka [14]

Answer:

last option is the answer; all values greater than 12

Step-by-step explanation:

2/3x - 5 > 3

2/3x > 8

x > 24/2

x > 12

4 0
2 years ago
Read 2 more answers
Solve this system algebraically.
seraphim [82]
From y-2x+3=0 we have y=2x-3
So we can replace y by 2x-3 in the equation: 9x+2y=5
And we have 9x+2(2x-3)=5
Or 9x+4x-6=5
and 13x=5+6
Or x=11/13, then y=2x-3= 2. 11/13-3=22/13-3= -17/13

So we have the answer <span>{(11/13, -17/13)}</span>
4 0
3 years ago
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