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
Marina86 [1]
2 years ago
9

Hi how do I solve this simultaneous equation

Mathematics
1 answer:
WITCHER [35]2 years ago
8 0

Answer:

M (-3, -5/2)

N (3, -1)

Step-by-step explanation:

Solve the first equation for x.

4y = x − 7

x = 4y + 7

Substitute into the second equation.

x² + xy = 4 + 2y²

(4y + 7)² + (4y + 7)y = 4 + 2y²

Simplify.

16y² + 56y + 49 + 4y² + 7y = 4 + 2y²

18y² + 63y + 45 = 0

2y² + 7y + 5 = 0

Factor.

(y + 1) (2y + 5) = 0

y = -1 or -5/2

Plug back into the first equation to find x.

x = 4(-1) + 7 = 3

x = 4(-5/2) + 7 = -3

M (-3, -5/2)

N (3, -1)

You might be interested in
Look at the image please help I’m struggling I have 5 more minutes to this test
Temka [501]
Wouldn’t it be $1.50 since half of 3 is 1.5
5 0
2 years ago
While looking at some reports, a store manager notes that sets of bunk beds that retail for
Anvisha [2.4K]
Should be 7.5% I have to add more words to this sentence to post it
5 0
1 year ago
Which of the ordered pairs are functions
kap26 [50]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
Is 14/21 proportional
pantera1 [17]

Answer

Yes

both divide by 7

2/3

Step-by-step explanation:

Another example if it was 15/10

Then yes

Both divide by 5

so

3/2

8 0
2 years ago
Read 2 more answers
Please help! acellus
ch4aika [34]

Answer:

The number that belongs <em>in</em> the green box is equal to 909.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

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

<u>Trigonometry</u>

[<em>Right Triangles Only</em>] Pythagorean Theorem:
\displaystyle a^2 + b^2 = c^2

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>a</em> = 30

<em>b</em> = 3

<em>c</em> = <em>x</em>

<em />

<u>Step 2: Find </u><u><em>x</em></u>

Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:

  1. [Pythagorean Theorem] Square root both sides [Equality Property]:
    \displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:

  1. [Equation] <em>Substitute</em> in variables:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}
  2. <em>Evaluate</em>:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.

___

Learn more about Trigonometry: brainly.com/question/27707750

___

Topic: Trigonometry

3 0
2 years ago
Other questions:
  • According to the History 202 syllabus, the first paper is worth 25% of the course grade, the second paper is worth 20% of the co
    9·1 answer
  • Factorise 3(x+2)^2-10(x+2)+3
    9·1 answer
  • What is that answer
    5·1 answer
  • Anyone????????????????
    9·1 answer
  • A new sweater costs $15.99. If the sweater is on sale for 1/4 off
    11·2 answers
  • In the expression 2x + 3, what is 2 in the given equation?. A). coefficient B). power C). product D). term
    7·1 answer
  • Find the product 5×8,000 thousands
    11·1 answer
  • Find the slope between the following two points.<br> (-4,0)(5,-8)
    7·1 answer
  • Find the volume of the cylinder. Use 3.14 for a.
    15·1 answer
  • Someone please help me!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!