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1 year ago

Solve the given system of equations 2x+8y=5 24x-4y=-15

Mathematics

1 answer:

oee [108]1 year ago

7 0

The value of x and y is y= 3/4 and x= -1/2

<h3>What is equation?</h3>

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given equations:

2x+8y=5........(1)

24x-4y=-15...........(2)

Multiply equation (1) by 12, we get

24x + 96y = 60.....(3)

From (2) and (3), we get

-4y-96y= -15-60

-100 y= -75

y= -75/-100

y= 3/4

and 2x+8y=5

2x + 8 (3/4) =5

2x + 6 = 5

2x= -1

x= -1/2

Learn more about his concept here:

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Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right

Dafna11 [192]

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

4 0

2 years ago

Find two numbers that have a sum of 4 and a product of -5

nekit [7.7K]

Answer:

-1 and 5

Step-by-step explanation:

7 0

2 years ago

A toy soldier set a selection of 6 weapons for 3 soldiers.

Rudik [331]

Answer:

Step-by-step explanation:

4 0

2 years ago

Select the correct answer.

Radda [10]

Answer:

$(-1\frac{1}{3}, 4\frac{3}{5})$

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = $m = \frac{rise}{run} = \frac{2}{1} = 2$

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = $m = \frac{rise}{run} = -\frac{3}{1} = -3$

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

$x = \frac{6}{-5} = -1\frac{1}{5}$

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

$y = -3\frac{-6}{5} + 1$

$y = \frac{18}{5} + 1$

$y = \frac{18 + 5}{5}$

$y = \frac{23}{5}$

$y = 4\frac{3}{5}$

✅The exact solution would be: $(-1\frac{1}{3}, 4\frac{3}{5})$

3 0

2 years ago

HELP PLEASE IM BEING TIMED!! WILL GIVE BRAINLIEST!!

kolbaska11 [484]

ANSWER

The correct choice is C.

EXPLANATION

The perimeter of a rectangle is given by;

P=2(w+l)

For the first rectangle, the perimeter is;

P=2(8+4)=24

For the second rectangle, the perimeter is

P=2(8+8)=32

For the third rectangle, the perimeter is

P=2(8+12)=40

The correct choice is C

8 0

2 years ago