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
ra1l [238]
3 years ago
7

What is the answer for this question using the elimination formula

Mathematics
2 answers:
nalin [4]3 years ago
7 0

It is convenient to add 3 times the first equation to the second. This will eliminate x.

In general, you want to find some multiple of one equation that you can combine with some multiple of the other to cause one of the variable coefficients to become zero. Here, we see that x is by itself in one equation, so it is convenient to multiply that by a suitable factor to cancel the x-term in the other equation. The x-coefficient in the second equation is -3, so when we multiply the first equation by +3 and add the result to the second equation, we get +3x-3x = 0x in the result.

3(x +5y) +(3y -3x) = 3(17) + (21)

... 18y = 72 . . . . . . collect terms

... y = 4 . . . . . . . . . divide by 18

Substitute into the first equation:

... x + 5·4 = 17

... x = -3 . . . . . . . . subtract 20

The solution is (x, y) = (-3, 4).

_____

Here, we note the second equation has terms that all have a factor of 3 that can be removed. That is, the second equation can be rewritten as

... y - x = 7

Now, we can add this directly to the first equation to eliminate the x terms.

... (y -x) +(x +5y) = 7 + 17

... 6y = 24 . . simplify

... y = 4 . . . . same as above

We could also subtract 5 times the new second equation from the first to eliminate y.

... (x +5y) -5(y -x) = (17) -5(7)

... 6x = -18 . . . . . . simplify

.... x = -3 . . . . . . . . divide by the coefficient of x

amid [387]3 years ago
7 0
Thats your answers... hope it can help... :)
You might be interested in
If f(x)=2x^4-3x^3+2x^2+x-3, explain how you know that the equation f(x)=0 has at least one real root between x=1 and x=2
hodyreva [135]

Answer:

Step-by-step explanation:

by theorem :

f continu in [1 , 2]

f(1)×f(2) < 0 because : f(1) = -1 and f(2) = 15

so the equation f(x)=0 has at least one real root between x=1 and x=2

so :

7 0
3 years ago
Solve for x under the assumption that x&lt;0. <br> x-5/x&lt;4
AleksandrR [38]
If you would like to solve the inequality x - 5/x < 4, you can do this using the following steps:

<span>x - 5/x < 4
</span>x^2 - 5 < 4x
x^2 - 4x - 5 < 0
(x - 5) * (x + 1) < 0
x < 0
1. x = 5
2. x = -1

The correct result would be x = -1.
3 0
3 years ago
15 POINTS!<br> What is the correct answer for Dean's problem? Explain where he went wrong.
prohojiy [21]

Answer:

The slope is 5/-2.

Step-by-step explanation:

Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.

11 - (-4) = 11 + 4 = 15

-2 - 4 = -6

Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2

Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.

8 0
3 years ago
Write the number of measures (sides/angles/diagonals) needed to construct the following :
gladu [14]
  • Square <em>:</em><em>4</em><em> </em><em>sides</em><em>,</em><em>each</em><em> </em><em>side</em><em> </em><em>9</em><em>0</em><em> </em><em>degrees</em><em> </em><em>.</em><em>.</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>:each angle is 90 degrees

: 4 diagonals

  • Rectangle: 4 sides..4 angles..2 diagonals..
  • Rhombus : <u>4</u><u> </u><u>sides</u><u>.</u><u>.</u><u>2</u><u> </u><u>angles</u><u>.</u><u>.</u><u>.</u><u>2</u><u> </u><u>diagonals</u><u>.</u><u>.</u>
  • Parallelogram : 4 sides..4 angles..2 diagonals..
  • Quadrilateral: 4 sides...4 angles...4 diagonals..

<em>If</em><em> </em><em>this</em><em> answer</em><em> helps</em><em><u> you</u></em><em><u> plz</u></em><em><u> mark</u></em><em><u> as</u></em><em><u> brainlist</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
2 years ago
These can come from many different places including national, state, public, and private sources. This money can be awarded base
Serhud [2]

Answer:

D. Grants

Step-by-step explanation:

Although grants and scholarships are similar, grants tend to be for financial reasons, therefore it would be grant. Hope this helped :)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Type the correct answer in the box. Round your answer to two decimal places.
    8·2 answers
  • What is the measure of X?
    14·1 answer
  • RuRodolfo has 15 toys in the toy box and he had to new toys everyone based on this information which representation that shows t
    11·1 answer
  • A block with a surface area of 4 m2 is pressed against the ground using a force of 100 N.
    12·2 answers
  • Draw a rectangle to show that: 6(3+a) = 18 + 6a
    11·1 answer
  • 35 POINTS
    13·1 answer
  • Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Ch
    13·1 answer
  • Information about the five planets
    5·2 answers
  • Which statement about parallel lines is true?
    15·1 answer
  • Please help I have tried multiple times but keep getting it wrong.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!