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kupik [55]
4 years ago
11

One positive number exceeds three times another positive number by 5. The product of the two numbers is 68. Find the number

Mathematics
1 answer:
kati45 [8]4 years ago
6 0

Answer:12

Step-by-step explanation:

Let the numbers be a and b

a-3b=5 ........equation (1)

There product is :

ab=68 ..........equation (2)

From equation (1)

a-3b=5

Make a the subject of the formula

a=5+3b. ........equation (3)

Substitute equation (3) into equation (2)

(5+3b)b=68

3(b^2)+3b-68=0

The product is -204b^2(17 and -12)

(b+17)(b-12)=0

b=-17 or b=12

So the number is 12

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3 years ago
What is the slope and the y-intercept of the line 12x+2y=-60
aivan3 [116]

Answer:

The slope is -6 and the y intercept is (0, -30)

Step-by-step explanation:

Rearrange the equation into y = mx + b form, where m is the slope and b is the y intercept:

12x + 2y = -60

Subtract 12x from both sides:

2y = -12x - 60

Divide each side by 2:

y = -6x - 30

So, the equation in slope intercept form is y = -6x - 30

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8 0
4 years ago
The sum of three numbers is 10. Two times the second number minus the first number is equal to 12. The first number minus the se
topjm [15]

Answer:

x = -2,  y = 5,  z = 7

Step-by-step explanation:

Let these 3 numbers be x, y, and z

x is the first

y is the second

z is the third number.

Then:

x + y + z = 10

2*y - x = 12

x - y + 2z = 7

x = 2y - 12

(2y - 12) + y + z = 10

and

(2y - 12) - y + 2z = 7

so

3y + z = 22

y + 2z  = 19

y = 19 - 2z

3*(19 - 2z) + z = 22

57 - 6z  + z = 22

57 - 5z = 22

35 = 5z

z = 7

y = 19 - 2*7 = 19 - 14 = 5

x = 2y - 12 = 2*5  -12 = 10 -12 = -2

4 0
3 years ago
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