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Tasya [4]
2 years ago
8

-10x-6y=0 -4x -6y=54 find the solution of this system of equations

Mathematics
1 answer:
ad-work [718]2 years ago
7 0

You can see that the term -6y appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have

(-4x -6y) - (-10x-6y) = 54-0 \iff 6x = 54 \iff x = 9

Now that we know the value of x, we can substitute in any of the equation to deduce the value of y: if we use the first equation, for example, we have

-10x-6y=0 \iff -10\cdot 9 - 6y = 0 \iff -90-6y=0 \iff 6y = -90 \iff y = -15

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balandron [24]

9514 1404 393

Answer:

  16) No

  17)  (c)

Step-by-step explanation:

For a lot of multiple-choice matrix problems, a simple test is all that is needed to determine the correct answer.

16) The determinant of A is (-2)(-2) -(2)(-3) = 10. So, we expect to see values in the inverse matrix that are 0.2 and 0.3. Alas, they're not there. The matrices are not inverses.

  A^-1 = [[-.2, .3][-.2, -.2]]

__

17) The matrices are both 3×3, so their product is possible (eliminates choice D). The upper left term is different among the answer choices, so we can determine the correct one by computing that term only.

  BA=C

  c11 = (5)(1) +(7)(5) +(3)(-1) = 5 +35 -3 = 37

This matches the third choice (C).

If you use a calculator to compute the full matrix product, it matches choice C in all details.

6 0
3 years ago
If you add two negative integers, what will the sign on the sum be? Explain.
KengaRu [80]

Answer:

Negative

Step-by-step explanation:

If both are negative, they can't grow when you add them. If I owe someone 3 dollars, then I owe them 3 more, I don't owe them 0, I owe them 6. The equation would be My amount of money-3-3

4 0
3 years ago
Please solve 6x^2 - 11x + 3=0<br> I will give brainliest to correct answer!!!!!!!!
Diano4ka-milaya [45]

Answer:

Simplifying

6x2 + 11x + 3 = 0

Reorder the terms:

3 + 11x + 6x2 = 0

Solving

3 + 11x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + 2x)(1 + 3x) = 0

Step-by-step explanation:

3 0
2 years ago
Is the answer to 6(1-5m) 1m?
Phoenix [80]
No.
6(1-5m) You would have to use the distributive property.
6-30m is the answer, not 1m.
6 0
2 years ago
PLEASE HELP ASAP!! I WILL BE AWARDING BRAINLIEST!!
dolphi86 [110]
The answer here would be -3
5 0
3 years ago
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