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3 years ago

Which ordered pair is a solution to the system of equations?

Mathematics

1 answer:

enot [183]3 years ago

3 0

Answer:

See below

Step-by-step explanation:

Given system:

2x - y = - 2
15x - 2y = - 7

Solve by elimination, multiply the first equation by - 2 and add up the equations:

-2(2x - y) + 15x - 2y = - 2(- 2) - 7
-4x + 2y + 15x - 2y = 4 - 7
11x = - 3
x = - 3/11

Find the value of y:

2( - 3/11) - y = - 2
-6/11 - y = - 2
y = 2 - 6/11
y = 1/11

Solution is:

( - 3/11, 1/11)

None of the answer choices is matching this solution. Something must be wrong with the given equations.

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Decide whether the pair of ratios form a proportion 15/12=4.5/3.6

Hitman42 [59]

Answer: Yes they form a proportion. The given equation is a true equation.

==========================================

Explanation:

The idea is that if we have

a/b = c/d

then that it is the same as

a*d = b*c

This is known as cross multiplication. We'll use this rule to get

15/12 = 4.5/3.6

15*3.6 = 12*4.5

54 = 54

We got the same value on both sides, meaning that the last equation is true. Consequently, it means the first equation is true as well (all three equations are true).

--------

You could also use your calculator to see that

15/12 = 1.25

4.5/3.6 = 1.25

showing that 15/12 = 4.5/3.6 is a true equation and the ratios form a proportion.

4 0

3 years ago

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Can you please help me:)

svp [43]

Answer:

Step-by-step explanation:

yes c

4 0

3 years ago

Each big square below represents one whole.

tatyana61 [14]

Answer:

45 percent /100 percent

4 0

3 years ago

PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK

dem82 [27]

Answer:

$\huge\boxed{9}$

Step-by-step explanation:

$\sf (2^8 * 3^{-5} * 6^0)^{-2 } (\frac{3^{-2}}{2^3} )^4*2^{28}$

Rule of exponents $a^0 = 1$ , $1/a^m = a^{-m}$

=> $\sf 2^{8*-2} * 3 ^{-5*-2} * 3 ^{-2}* 2^{-3*4} * 2^{28}$

=> $\sf 2 ^ {-16} * 3^{10} * 3^{-8} * 2 ^{-12}* 2^{28}$

Combining same bases

=> $\sf 2 ^ {-16} * 2 ^{-12}* 2^{28}* 3^{10} * 3^{-8}$

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=> $\sf 2 ^{-16-12+28} * 3^{10-8}$

=> $\sf 2^{-28+28} * 3^2$

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=> 9

8 0

3 years ago

4^3-(24divided6)+8=?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

4^3-(24÷6)+8

4³-(4)+8= 68

PLEASE DO MARK ME AS BRAINLIEST IF MY ANSWER IS HELPFUL :) 

4 0

3 years ago

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