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IrinaVladis [17]
3 years ago
5

A system of equations and its solution are given below.

Mathematics
2 answers:
Alexus [3.1K]3 years ago
6 0

Answer:

C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

Step-by-step explanation:

System A

x + 6y = 5

3x - 7y = -35

Solution: (-7, 2)

System B  

x + 6y = 5

-25y = -50

First equation is same in both system A  and B

To get system B, the second equation in system A was replaced by sum of that equation and first equation multiplied by -3

x + 6y = 5  (Multiply by -3)

-3x -18y =-15

now do the sum of 3x - 7y = -35  and -3x -18y =-15

3x - 7y = -35  

-3x -18y =-15

-----------------------

      -25 y = -50

The solution to system B will be the same as the solution to system A.

Fittoniya [83]3 years ago
4 0
Answer: Option <span>C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

First equation of system A multiplied by -3:
(-3)(x+6y=5)
(-3)(x)+(-3)(6)=(-3)(5)
-3x-18=-15

Sum of the second equation of system A and the first equation multiplied by -3:
(-3x-18)+(3x-7y)=(-15)+(-35)
-3x-18+3x-7y=-15-35
-25y=-50

System B
x+6y=5
-25y=-50 </span>
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line J passes through points (-6,1) and (-3,6) . Line m is parallel to line j and passes through point (15,-1).what is the equat
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Read 2 more answers
P(x)=2x^4-x^3+2x^2-6. What is the remainder when P(x) is divided by (x-2)?
aleksandr82 [10.1K]

Answer: 26

Step-by-step explanation: From the remainder theorem ,

If P (x) = 2x⁴ ⁻ x³ + 2x² ⁻ 6. is divided by ( x - 2 ).

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Therefore , to find the remainder, find the zero of x - 2, and substitutes for the value in P(x)  to know the remainder

x - 2 = 0

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Now put this in P(x)

P(x) = 2(2)⁴ - (2)³ + 2(2)² - 6

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Therefore the remainder when P(x) is divided by x -2

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