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Shalnov [3]
3 years ago
12

Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17? (–4, –3) (–4, 3) (

–3, –4) (–3, 4)
Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
5 0

Answer:

(–3, –4)

Step-by-step explanation:

Given pair of linear equation

-4x+y = 8    

=> y = 8 + 4x _____(1)

x - 5y = 17  (2)

substituting value of y from equation 1 in equation 2 we have

x - 5(8 + 4x) = 17

=> x - 5*8 -5*4x = 17

=> x - 40 - 20x = 17

=> -40 - 19x = 17

=> -19x = 17+40 = 57

=> x = 57/-19 = -3

Thus, x = -3

y = 8 + 4x = 8 +4(-3) = 8 -12 = -4

Thus, y = -4

Hence, paired solution for given equation is (–3, –4).

ddd [48]3 years ago
5 0

Answer:

c i got it right on the test good luck

Step-by-step explanation:

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Samir harvest the peppers and pumpkins in his garden he picks 3 5/8 less peppers in the afternoon than in the evening if Samir p
tatuchka [14]
<h2>Hello!</h2>

The answer is:

Samir picks 7\frac{9}{8} Kg of peppers in the evening.

<h2>Why?</h2>

To solve this problem, we must remember the way to add or subtract mixed numbers.

We must remember the way of adding or subtracting fractions:

\frac{a}{b}+\frac{c}{d} =\frac{ad+bc}{bd}

Also, if we need to add or subtract mixed numbers with different denominators, we need to follow the next steps:

- Add or subtract the whole number part

- Add or subtract the fractional numbers.

- Put together both, whole number addition or subtraction result and the addition or subtraction of the fractional numbers.

So,

a\frac{b}{c}+d\frac{e}{f} =(a+d)\frac{bf+ce}{cf}

Now, if Samir picks 3 5/8 less peppers in the afternoon than in the evenning, and if he picks 4 3/6 peppers in the afternoon, so:

Let be x the number of peppers that he picks in the evening, so:

x-3\frac{5}{8}x=4\frac{3}{6}\\\\x=4\frac{3}{6}+3\frac{5}{8}

Then, simplifying we have:

x=4\frac{3}{6}+3\frac{5}{8}\\\\x=4\frac{3}{6}+3\frac{5}{8}=(4+3)\frac{24+30}{48}\\\\x=(4+3)\frac{24+30}{48}=7\frac{54}{48}=7\frac{9}{8}

So, Samir picks 7\frac{9}{8} Kg of peppers in the evening.

Have a nice day!

6 0
3 years ago
Simplify (x+3)^2 -3 (2x+3)
Lynna [10]

Answer:

x^2.

Step-by-step explanation:

(x+3)^2 -3 (2x+3)

= (x + 3)(x + 3) - 3(2x + 3)

= x^2 + 3x + 3x + 9 - 6x - 9

= x^2 + 6x + 9 - 6x - 9      

= x^2 + 6x - 6x + 9 - 9        Simplify like terms:

= x^2.

5 0
2 years ago
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