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2 years ago

Solve the system 4x + 2y = 10 x = y + 13

Mathematics

2 answers:

solniwko [45]2 years ago

4 0

Answer: (6,-7)

Step-by-step explanation:

4x +2y = 10

x = y + 13 Substitute the value of x into the first equation to solve for y.

4(y + 13) +2y = 10 apply the distributive property on the left side

4y + 52 + 2y = 10 Combine like terms on the left side

6y + 52 = 10 Subtract 52 from both sides

-52 -52

6y = -42

y= -7

The value of y so input it into one of the equations to solve for x

4x + 2(-7) = 10

4x - 14 = 10

+14 +14

4x = 24

x= 6

Maslowich2 years ago

3 0

Answer:

$x = 6$

$y = -7$

Step-by-step explanation:

We have the system of equations:

$4x+2y=10\\x=y+13$

Let's solve by substituting. We know that $x=y+13$ , so we can substitute $y+13$ in as $x$ in the equation $4x+2y=10$ .

$4(y+13) + 2y = 10$

Simplify this down so that we have $y$ on one side of the equation:

$4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7$

Now that we know the value of $y$ , we can substitute it in to the equation $x = y+13$ to find $x$ .

$x = -7+13\\\\x = 6$

Hope this helped!

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abruzzese [7]

Answer :

$\boxed{\textsf{ The final answer is \textbf{n}$^{\textbf{3}}$ .}}$

Step-by-step explanation:

Its given that n is the middle out of the three consecutive integers . So ,

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$\sf\implies Last \ Integer \ = \ n - 1$

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$\sf\implies Next \ Integer \ = \ n + 1$

Now the Question says that the three integers are multipled to give a product . So that would be.

$\sf\implies Product_{(three\ consecutive\ integers)}= (n-1)n(n+1) = (n^2-1)(n) = \pink{n^3-n}$

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3 years ago

Factor the following. ( Correct and best explained answer gets brainliest :)

Fittoniya [83]

The answer is (x - 10)(x - 9).

Alright, so here is my thought process as I factored this out.

The middle number, or second term, is the sum of the numbers within the parentheses after you factor. In this case, we had to get to -19.

Now, to figure out which two number are gonna add up to that, you need to figure out the factors of the last number in the equation, which is the constant. In this case, multiple choice tells us that 10 and 9 have got to be the factors of 90 we're looking for.

Now, back to the first step. We have the numbers 10, 9, and -19. The only way to make 10 and 9 add up to -19 is by making 10 and 9 both negative. So -9 and - 10.

Finally, you add the x's and the parentheses to make the lovely factored version of the equation: (x - 10)(x - 9)! :)

4 0

2 years ago

Can you please help me with this

KengaRu [80]

I think your answer is C

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2 years ago