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kolezko [41]
3 years ago
5

The sum of two numbers is 8. their difference is 12. find the numbers.

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
7 0
X + y = 8
x - y = 12
--------------add
2x = 20
x = 20/2
x = 10

x + y = 8
10 + y = 8
y = 8 - 10
y = -2

ur numbers are 10 and -2
Tom [10]3 years ago
5 0

let the two numbers be: x y

x + y = 8

x - y = 12

Isolate the x in x + y = 8. Subtract y from both sides

x + y (-y) = 8 (-y)

x = 8 - y

Plug in 8 - y for x in the other equation

x - y = 12

(8 - y) - y = 12

Simplify

8 -2y = 12

Isolate the y. Subtract 8 from both sides, and then divide by -2

8 (-8) - 2y = 12 (-8)

-2y = 4

-2y/-2 = 4/-2

y = -2

Plug in -2 for y in one of the equations

x + y = 8

x + (-2) = 8

Simplify. Isolate the x. Add 2 to both sides

x - 2 (+2) = 8 (+2)

x = 10

--------------------------------------------------------------------------------------------------------------

x = 10, y = -2 is your answer

--------------------------------------------------------------------------------------------------------------

hope this helps

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Anna71 [15]

Answer:

Slope = -3/4

y-intercept = 2

Step-by-step explanation:

3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2

6 0
3 years ago
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The cost of 5 story books is Rs 800. How many books can be bought for Rs 1,440?​
djyliett [7]

Answer:

cost of 5 story book=800

cost of 1 story book=800/5

=160

how many. book can be bought on rs.1400

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Step-by-step explanation:

=

4 0
2 years ago
When the input is 200 what is the output? Explain please.
anygoal [31]
The slope formula is delta y/delta x=m
You can choose any two points. Let's choose (0,25) and (1,30)
30-25/1-0=5/1=5
Slope intercept form is y=mx+b
b=the y intercept
y=5x+25 since (0,25) is the coordinates for the y inthercept.
Plug in 200: y=5(200)+25
Simplify and you get that y=1025
Your answer is 1025
Your welcome
4 0
3 years ago
Write an equation of the line shown. Then use the equation to find the value of x when y=112
PtichkaEL [24]

Answer:

y = 8x + 16

x = 12

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format y = mx + b.

Where,

m = slope = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

(0, 16) = (x_1, y_1)

(3, 40) = (x_2, y_2)

slope (m) = \frac{40 - 16}{3 - 0}

slope (m) = \frac{24}{3}

slope (m) = 8

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

y = mx + b

16 = 8(0) + b

16 = 0 + b

16 = b

b = 16

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

y = mx + b

y = 8x + 16

Let's use the equation to find x when y = 112.

y = 8x + 16

Substitute y = 112 in the equation

112 = 8x + 16

112 - 16 = 8x

96 = 8x

Divide both sides by 8

12 = x

x = 12

8 0
3 years ago
For an art project, Jack used a piece of rope that was of a foot long. Daniel used a piece of rope that was 5 times as long. How
Lemur [1.5K]
5 feet

Explanation:
If jack had a 1 foot long piece of rope than we can simply multiply 1 by 5 and we get 5. Hope this helps!
8 0
3 years ago
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