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3 years ago

What is the solution to the system of equations x+y=10 and x+2y=4 using the linear combination method?

Mathematics

1 answer:

Elis [28]3 years ago

3 0

Answer:

The solution:

X = 16 and Y = -6

Step-by-step explanation:

The equations to be solved are:

x+y = 10 ------- equation 1

x+2y = 4 ----------- equation 2

we can multiply equation 1 by -1 to make the value of x and y negative.

This will give us

-x- y = - 10 ------- equation 3

x+2y = 4 ----------- equation 2

We will now add equations 3 and 2 together so that x will cancel itself out.

this will give us

y = -10 +4 = -6

hence, we have the value of y as -6.

To get the value of x, we can put this value of y into any of the equations above. (I will use equation 1)

x - 6 = 10

from this, we have that x = 4

Therefore, we have our answer as

X = 16 and Y = -6

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The equation of the line graphed below could be which of the following? Please help ASAP

igor_vitrenko [27]

Answer:

Step-by-step explanation:

First, you have to decide whether the slope is negative or positive. Since the line is going diagonally upward, it is positive.

That means the answer has to be either 3 or 4.

Next, you have to decide whether the y-intercept is negative or positive, on the graph, you can see that it is positive.

Answer choice 4 is the only equation where both the slope and the y-intercept are positive, so it is the answer.

8 0

3 years ago

Peter is writing a number in scientific notation.The number is grater that ten million and less that one hundred million.Which e

OLga [1]

Answer:

$M = a \times 10^7$ where 1 < a ≤ 9

The EXPONENT USED BY PETER is 7 in all the possible cases.

Step-by-step explanation:

Let us assume the needed number is M.

Also, given:

The needed number is GREATER than 10 Million.

⇒ M > 10 Million

⇒ M > 10,000,000

⇒ M > $1 \times 10^7$ ...... (1)

The needed number is SMALLER than 100 Million.

⇒ M < 100 Million

⇒ M < 100,000,000

⇒ M < $1 \times 10^8$ ...... (2)

Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.

So, the possible values of M can be:

$M = a \times 10^7$ where 1 < a ≤ 9

So, the EXPONENT USED BY PETER is 7 in all the possible cases.

5 0

3 years ago

SQUARE ROOT OF 16 THANKS

Mila [183]

Answer:

Step-by-step explanation:

FAQs on the Square Root of 16

The square root of 16 is 4.

8 0

2 years ago

Read 2 more answers

Hey can you please help me posted picture of question

Anni [7]

You multiply the options in each section:

Shirts x skirts x shoes
7 x 6 x 4
=168

So, there are 168 combinations- Letter answer B

6 0

3 years ago

Read 2 more answers

Find the oth term of the geometric sequence 9, -18, 36, ...

Sphinxa [80]

Answer:

2304

Step-by-step explanation:

Given :-

A geometric sequence is given to us which is 9 , -18 , 36.

And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

Common Ratio :-

$:\implies$ CR = -18÷ 9 = -2

The 9 th term :-

$:\implies$ T_n = arⁿ - ¹

$:\implies$ T_9 = 9× (-2) ⁹ - ¹

$:\implies$ T_9 = 9 × (-2)⁸

$:\implies$ T_9 = 9 × 256

$:\implies$ T_9 = 2304

Hence the 10th term is 2304.

3 0

3 years ago