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Brums [2.3K]
2 years ago
13

If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solv

e for x and y?
A.x+y=90
x−4y=6

B.x+y=90
4x−y=−6

C.x+y=90
6x−y=−4

D.x+y=90
4x−y=6
Mathematics
1 answer:
marishachu [46]2 years ago
8 0

Answer:

B

Step-by-step explanation:

x + y =90

y= 4x +6

_______

x + y = 90

4x − y = -6

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The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is​
Rasek [7]

Answer:

The other rational number in the operation given is:

  • <u>6/5</u>

Step-by-step explanation:

To obtain the number in the operation given, we're gonna represent the operation:

  • r * 15/14 = 9/7

Where:

  • r = the other rational number.

Now we are going to solve r to identify its value in numbers:

  • r * 15/14 = 9/7
  • r = \frac{\frac{9}{7} }{\frac{15}{14}} (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
  • r = \frac{6}{5}

As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:

  • r * 15/14 = 9/7
  • 6/5 * 15/14 = 9/7
  • 9/7 = 9/7

In this form, we know the result is correct.

8 0
3 years ago
−3x − 8y = 20 −5x + y = 19 solved by substitution
beks73 [17]

Delete as this is the wrong answer. Made a typo in the answer.

Answer:

x = \frac{-212}{3}

y = 24

Step-by-step explanation:

-3x - 8y = 20  .... (1)

-5x + y = 19   .... (2)

What we can do is take the (2) equation

-5x + y = 19

and solve for y by adding 5x to both sides

y = 24

now that we have y we substitute it in for y in equation (1)

-3x - 8(24) = 20

-3x - 192 = 20

we want to solve for x so we need to get its self.

add 192 to both sides

-3x = 212

now we divide both sides by -3. It's going to be a fraction.

x = \frac{-212}{3}

7 0
2 years ago
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snow_tiger [21]

Answer:

x = 26

Step-by-step explanation:

m<RTS = 4x - 14 (given)

Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)

Therefore,

4x - 14 = 90

4x - 14 + 14 = 90 + 14 (addition property of equality)

4x = 104

4x/4 = 104/4

x = 26

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