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Rudik [331]
3 years ago
12

What is the solution of the system of equations? 5x + 4y = -22 2x – 3y = 5

Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

y = 3

x =7

Step-by-step explanation:

to solve this system of equations using substitution method we say, let

5x + 4y = -22 .................... equation 1

2x – 3y = 5...................... equation 2

from equation 2

2x - 3y = 5

2x = 5 + 3y

divide both sides by 2

we have;

2x/2 = (5+3y)/2

x =(5+3y)/2................................ equation 3

put x = (5+3y)/2 in equation 1

5x + 4y = -22 .................... equation 1

5(5+3y)/2 + 4y = -22

(25 + 15y)/2 + 4y = -22

multiply through by 2

25 + 15y + 8y = -44

25 + 23y = -44

collect the like terms

23y = -44 - 25

23y = -69

divide both sides by 23

23y/23 = -69/23

y = 3

put the value of y= 3 into equation 3

x =(5+3y)/2................................ equation 3

x = (5+3(3)]/2

x = 5+9/2

x =14/2

x =7

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Nezavi [6.7K]

Answer:

Yes

Step-by-step explanation:

74/e < 12

Since e is in the denominator, e can not be 0.

If e > 0,

74/e < 12

74 < 12e

e > 74/12

e < 37/6

If e < 0,

(When you multiply by e, which is a negative value, inequality reverses)

74 > 12e

e < 74/12

e < 37/6

6 0
3 years ago
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Ulleksa [173]

Answer:

No, they both have a 2/6 (1/3) chance of spinning blue.

6 0
2 years ago
If f(x)= 3x^2 + 3x^1/2 +3x what is the value of f(-9)
Dahasolnce [82]

Answer:

216 + 9i

Step-by-step explanation:

Given: f(x) = 3x² + 3x^{1/2} + 3x

When x = -9, f(x) equals to;

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216 + 9i

4 0
3 years ago
Name five fractions whose values are between 1/8 and 1/5
Volgvan

Answer:

1/5

1. 1/56

2. 1/6

3. 1/65

4. 1/7

5. 1/75

1/8

Step-by-step explanation:

The fractions I gave (1/56, 1/6, 1/65,  1/7, 1/75) are all in between 1/5 and 1/8.

A way to think about this is to add a zero to a denominator of 1/5 and 1/8 and turn them into whole numbers:

1/5 --> 1/50 --> 50

1/8 --> 1/80 --> 80

Then find number between them:

55, 60, 65, 70, 75

Then, turn them into a fraction with a 1 as the numerator and the number as denominators:

1/55, 1/60, 1/65, 1/70, 1/75

This is the process.  These numbers are all in between 1/5 and 1/8.

I hope this helps you!

(P.S., I don't think this works with negative numbers, though)

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3 years ago
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Step-by-step explanation:

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