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nadezda [96]
4 years ago
8

Which ordered pair (a, b) is a solution to the given system of linear equations? -2a+3b=14

Mathematics
2 answers:
Stels [109]4 years ago
6 0

Answer:

The solution of the system is the ordered pair (-13,-4)

Step-by-step explanation:

we have

-2a+3b=14 -----> equation A

a-4b=3 ----> equation B

Solve the system by elimination

Multiply by 2 both sides equation B

2(a-4b)=2(3)

2a-8b=6 ----> equation C

Adds equation A and equation C

-2a+3b=14\\2a-8b=6\\-------\\3b-8b=14+6\\-5b=20\\b=-4

<em>Find the value of a</em>

substitute the value of b in any equation (i take equation B)

a-4(-4)=3

a+16=3

a=-13

therefore

The solution of the system is the ordered pair (-13,-4)

cestrela7 [59]4 years ago
3 0

Answer:

(-13,-4)

Step-by-step explanation:

Trust Me, took the test

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gizmo_the_mogwai [7]
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6 0
3 years ago
Which expression is equivalent to?...
stiks02 [169]

Answer:

B x^9 ∛ y

Step-by-step explanation:

(x^27 y) ^ (1/3)

x^27^(1/3) y^(1/3)

We can distribute the exponent a^b ^c = a^(b*c)

x^(27*1/3) y^(1/3)

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3 0
3 years ago
Is x=4 a solution to the equation 6=x+2? Is it a solution to the inequality 2x≥9?
jek_recluse [69]

Answer:

Is x = 4 a solution to the equation 6 = x + 2? YES

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Step-by-step explanation:

Is x = 4 a solution to the equation 6 = x + 2? YES

we cans solve the equation 6=x+2 by clearing for x:

6 = x + 2

we move the +2 on the right as a -2 to the left:

6 - 2 = x

4 = x

this way we find that indeed x = 4 is a solution to 6 = x + 2.

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Let's solve the inequality by clearing for x:

2x ≥ 9

we move the 2 that is multiplying on the left to divide on the right side:

x ≥ 9/2

x ≥ 4.5   ⇒ <u>x must be greater than or equal to 4.5</u>

thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5

3 0
3 years ago
What is the difference of 7x − (25x2 + 12x)
Sav [38]
If you would like to solve 7x - (25x^2 + 12x), you can do this using the following steps:

7x - (25x^2 + 12x<span>) = 7x - 25x^2 - 12x = - 25x^2 - 5x
</span>
The correct result would be <span>- 25x^2 - 5x.</span>
7 0
3 years ago
I need help please anybody this so due tomorrow, help, help, help, sorry its sideways. anybody please.
adell [148]
Okay what we need to do first is add the whole numbers.
1 1/3 and 2 1/4 and the whole numbers are 1 and 2.
1+2 is 3.

Now to add 1/3 and 1/4, but something is wrong. We need the denominator to be the same. 
So we need to find the same denominator.
We need to multiply the denominators by each other.
So the denominators are 3 and 4 of 1/3 and 1/4.
3*4 and 4*3 is both 12.
What you do to the bottom is what you need to the top the numerator.
1*4 is 4 and 1*3 is 3.
4/12 + 3/12.

Since the denominators are the same don't add those together keep them the same.
4/12 + 3/12 = 7/12
Now add the whole number 3 to 7/12
3 7/12 is your answer.
8 0
3 years ago
Read 2 more answers
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