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
AlladinOne [14]
2 years ago
13

SOLVE ALL THESE EQUATION BY USING THE METHOD SUBSTITUTION ALGEBRAICALLY HERE'S ARE ALL THE EQUATION:

Mathematics
1 answer:
pav-90 [236]2 years ago
3 0

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

  • -7x - y = -1
  • y = 8x + 16

⇒ -7x - (8x + 16) = -1

⇒ -7x - 8x - 16 = -1

⇒ -15x = 15

⇒ x = -1

⇒ y = 8(-1) + 16 = 8

⇒ Solution = <u>(-1, 8)</u>

<u></u>

<u>Question 2</u>

  • 3x + 4y = 0
  • y = -3x - 18

⇒ 3x + 4(-3x - 18) = 0

⇒ 3x - 12x - 72 = 0

⇒ -9x = 72

⇒ x = -8

⇒ y = -3(-8) - 18 = 6

⇒ Solution = <u>(-8, 6)</u>

<u>Question 3</u> (not clear)

<u>Question 4</u>

  • -8x - 7y = 0
  • y = 6x

⇒ -8x - 7(6x) = 0

⇒ -8x - 42x = 0

⇒ -50x = 0

⇒ x = 0

⇒ y = 6(0) = 0

⇒ Solution = <u>(0, 0)</u>

<u>Question 8</u>

  • 2x - 6y = -14
  • y = -5x - 19

⇒ 2x - 6(-5x - 19) = -14

⇒ 2x + 30x + 114 = -14

⇒ 32x = -128

⇒ x = -4

⇒ y = -5(-4) - 19 = 1

⇒ Solution = <u>(-4, 1)</u>

You might be interested in
What is the result when x4 + 9x^3 - 20x2 + 14x – 14 is divided by x – 1? If
Leno4ka [110]
This was done from using the method of synthetic division. I attached the image. Hope this helps

5 0
3 years ago
How do you find the minimum value of a quadratic function?
aniked [119]

The minimum value of a function is the place where the graph has a vertex at its lowest point.

There are two methods for determining the minimum value of a quadratic equation. Each of them can be useful in determining the minimum.

(1) By plotting graph

We can find the minimum value visually by graphing the equation and finding the minimum point on the graph. The y-value of the vertex of the graph will be the minimum.

(2) By solving equation

The second way to find the minimum value comes when we have the equation y = ax² + bx + c.

If our equation is in the form y = ax^2 + bx + c, you can find the minimum by using the equation min = c - b²/4a.

The first step is to determine whether your equation gives a maximum or minimum. This can be done by looking at the x² term.

If this term is positive, the vertex point will be a minimum; if it is negative, the vertex will be a maximum.

After determining that we actually will have a minimum point, use the equation to find it.

6 0
3 years ago
Solving for Unknown Angle Measures
Tresset [83]

Answer:

angle 4 is a full angle because it is represented full 110

4 0
3 years ago
Read 2 more answers
Solve for a: 5(a+5)-3=3(2-a)
ivann1987 [24]

Simplify:

5(a + 5) + -3 = 3(2 + -1a)

Reorder the terms:

5(5 + a) + -3 = 3(2 + -1a)

(5 * 5 + a * 5) + -3 = 3(2 + -1a)

(25 + 5a) + -3 = 3(2 + -1a)

Reorder the terms again:

25 + -3 + 5a = 3(2 + -1a)

Combine like terms:

]25 + -3 = 22

22 + 5a = 3(2 + -1a)

22 + 5a = (2 * 3 + -1a * 3)

22 + 5a = (6 + -3a)

Solve:

22 + 5a = 6 + -3a

To solve for variable 'a':

You have to move all terms containing A to the left, all other terms to the right.

Then add '3a' to each side of the equation:

22 + 5a + 3a = 6 + -3a + 3a

Combine like terms:

5a + 3a = 8a

22 + 8a = 6 + -3a + 3a

Combine like terms again:

-3a + 3a = 0

22 + 8a = 6 + 0

22 + 8a = 6

Add '-22' to each side of the equation.:

22 + -22 + 8a = 6 + -22

Combine like terms:

22 + -22 = 0

0 + 8a = 6 + -22

8a = 6 + -22

Combine like terms once more:

6 + -22 = -16

8a = -16

Divide each side by '8'.

a = -2

Simplify:

a = -2

Answer: a=-2

Hope I could help! :)

8 0
3 years ago
Read 2 more answers
Explain how you determine whether your estimate is an overestimate or underestimate
Montano1993 [528]
If your number is smaller than the actual number, you underestimated.  If it is larger, you overestimated.  Please mark Brainliest!!!
8 0
3 years ago
Other questions:
  • Sara sells bracelets for $1.25 each and will ship them to you for a fee of $4.25. If you purchase 12
    8·2 answers
  • jordan has a garden that is 528.15 square feet. if she divides the garden into 3 rows of equal size, how many square feet are in
    6·1 answer
  • The diameter of the base of a cylinder cookies is 8 inches. The volume of the cookie jar is 160 cubic inches. What is the height
    14·1 answer
  • Is the square root of 3 irrational​
    12·2 answers
  • The figures shown are similar. What is the scale factor? Two similar pentagons, one pentagon with base 9 and one pentagon with b
    9·2 answers
  • Is due today !! need help (show work/explanation)
    6·2 answers
  • Can 72/15 be simplified? Tell me what the number is in YOUR ANSWER. Please and thank you!
    13·1 answer
  • Maya bought 6 CDs that were each the same price. Including sales tax, she paid a total of $97.20. Of that total, $5.40 was tax.
    5·2 answers
  • Solve. 12. - (-4) = <br>9<br>16<br>17 <br>8​
    9·2 answers
  • Could Someone Help?<br> 5/7 + 5/6​?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!