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navik [9.2K]
4 years ago
10

Is the system of equations is consistent, consistent and coincident, or inconsistent? y=−x+12y=−2x+2 Select the correct answer f

rom the drop-down menu.
Mathematics
2 answers:
Dmitriy789 [7]4 years ago
6 0

Answer: A consistent system has at least one solution. ... y = 7/3 * x - 2/3 is the slope intercept form of the equation 7x - 3y = 2 m = 7/3 b = -2/3 a line parallel to the line created by this equation.




defon4 years ago
5 0

Answer:

The system of equations is a consistent system

Step-by-step explanation:

we have

y=-x+12 ----> equation A

y=-2x+2 ----> equation B

Multiply by -1 equation A

-y=-(-x+12) -----> -y=x-12 -----> equation C

Adds equation B and equation C

y=-2x+2\\-y=x-12\\--------\\0=-2x+x+2-12\\0=-x-10\\x=-10

Find the value of y

y=-(-10)+12=22

the solution is the point (-10,22)

The system has one solution

therefore

The system of equations is a consistent system

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For what value of a does (1/9)a+1 =81a+1 272-a?
AlexFokin [52]

Answer:

-4

Step-by-step explanation:

\left( \dfrac{1}{9}\right)^{a+1}= 81^{a+1}\cdot 27^{2-a}\\\\\\(3^{-2})^{a+1}=(3^4)^{a+1}\cdot (3^3)^{2-a} \\\\\\3^{-2a-2}=3^{4a+4}\cdot 3^{6-3a} \\\\\\3^{-2a-2}=3^{a+10} \\\\\\-2a-2=a+10 \\\\\\-3a=12 \\\\\\a=-4

Hope this helps!

8 0
3 years ago
PLZ I WILL GIVE BRAILIEST TO THE FIRST ANSWER
natima [27]
Option B is the correct answer.

3 is greater than -5, -9, and -1.

Hint: Remember to distribute the negative when solving. A negative directly outside outside of and to the left the parenthesis times a negative number inside the parenthesis makes that number positive.

So for option B, you can simplify it to -3 +4 +2. And that equals 3.

A) -3+-4-(-2) = -5

B) -3-(-4)-(-2) = 3

C) -3+(-4)-2 = -9

D) -3-(-4)-2 = -1
8 0
3 years ago
Read 2 more answers
Solve the simultaneous Equation using the two <br> methods<br>4m=n +7<br>3m+ 4n+9=0​
GrogVix [38]

Elimination method:

4m = n + 7

3m + 4n + 9 = 0

<em>First, let's get the equations in the same form.</em>

4m - n - 7 = 0

3m + 4n + 9 = 0

<em>Now let's make multiply the first equation by 4 so we can eliminate n.</em>

16m - 4n - 28 = 0

+3m + 4n + 9 = 0

<em>Now we can add the equations.</em>

16m + 3m - 4n + 4n - 28 + 9 = 0

19m + 0n - 19 = 0

19m - 19 = 0

19m = 19

<em>m = 1</em>

<em>Now we put m back into one (or both) of the original equations.</em>

4(1) = n + 7

4 = n + 7

<em>n = -3</em>

<em>If you plug m into the other equation, you get the same result.</em>

<em />

Substitution method:

4m = n + 7

3m + 4n + 9 = 0

<em>With this method, we plug one of the equations into the other one. I'm going to use m in the second equation as a substitute for m in the second equation.</em>

3m + 4n + 9 = 0

3m = -4n - 9

m = (-4/3)n - 3

<em>Now I can substitute the right side into the first equation like so:</em>

4[(-4/3)n - 3] = n + 7

(-16n)/3 - 12 = n + 7

(-16n)/3 = n + 19

-16n = 3(n + 19)

-16n = 3n + 57

0 = 16n + 3n + 57

0 = 19n + 57

0 = 19n/19 + 57/19

0 = n + 3

<em>-3 = n</em>

<em>And then we put that back into one of the original equations.</em>

4m = n + 7

4m = -3 + 7

4m = 4

<em>m = 1</em>

Hopefully you learned something from this.

5 0
3 years ago
In a geometric progression, the first tern is 81 and the fourth term is 24. find the common ratio​
lesantik [10]

Step-by-step explanation:

<h2><u><em>81/24</em></u></h2><h2><u><em>= 27/8</em></u></h2>

8 0
3 years ago
Read 2 more answers
CJ=6x−6C, J, equals, 6, x, minus, 6 and
Nana76 [90]
6x-6=7x-8
-6=x-8
2=x
Now that we know the value of x we plug in the value to solve CT .
CT =12
4 0
3 years ago
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