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Mkey [24]
3 years ago
12

Given that 3x+2y=5a+b and 4x-3y=a+7b, solve for y-x in terms of a and b.​

Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

y - x = - 2 b

Step-by-step explanation:

Given-

3 x + 2 y = 5 a + b...................(i)

4 x - 3 y = a + 7 b.....................(ii)

<em><u>Multiply by 3 and 2 in equation (i) & (ii) respectively-</u></em>

<em><u>Add equation (iii) &  (iv)-</u></em>

9 x + 6 y = 15 a + 3 a...................(iii)

<u>8 x - 6 y = 2 a + 14 b</u> ...................(iv)

17 x = 17 a + 17 b

<u>x = a + b</u>

Put x = a + b in equation (i)-

<em>2 y = 5 a + b - 3 a - 3 b</em>

<em>2 y = 2 a - 2 b</em>

<u>y = a - b </u>

<em>∴ y - x = a - b - ( a + b )</em>

<em>y - x = a - b - a - b</em>

y - x = - 2 b

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Goshia [24]

Answer: 12.5

25 / 2 = 12.5

and so does

25 x .50 = 12.5

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Hope this helps you!

5 0
3 years ago
Suppose f varies directly as g, and f varies inversely as h. Find g when f = 10 and h = –12, if g = 56 when h = –2 and f = –7. R
kow [346]

Answer:

-480

Step-by-step explanation:

If f varies directly as g, and inversely as h, then we can write the variation equation:

f=\frac{kg}{h}, where k is the constant of variation.

If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.

-7=\frac{k(56)}{-2}

-7\times -2=56k

k=\frac{14}{56}=\frac{1}{4}

The equation now becomes:

f=\frac{g}{4h}

if f=10 and h=-12, then;

10=\frac{g}{-48}

g=-48\times 10=-480

The correct answer is B.

4 0
3 years ago
You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles
Maslowich

Answer:

The answer is below

Step-by-step explanation:

Speed is the time rate of change of velocity, it is the ratio of distance to time.

Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:

speed = distance / time

time = distance / speed = 26 / 4.2 = 6.19 hour

I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:

time = distance / speed = 23 / 3 = 7.67 hour

a) Let d be the distance Mr Fowles catches me. Hence:

time = (d + 3)/4.2; also time = d/3

(d + 3)/4.2 = d/3

3d + 9 = 4.2d

1.2d = 9

d = 7.5 miles

He would catch me at 10.5 (7.5 + 3) miles from the starting point.

b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:

distance = 6.19 * 3 mi/hr = 18.57 mile

Distance behind = 23 mile - 18.57 = 4.43 mile

c) time longer = 7.67 hour - 6.19 hour = 1.48 hour

4 0
3 years ago
What is the equation of the line which includes points (1, 1) and (1, 5)?
Allisa [31]
Equation of the line that includes points (1, 1) and (1, 5) is a vertical line given by x = 1.
6 0
3 years ago
I NEED THIS DONE IN 3 HOURS AND I CANT FIGURE IT OUT PLEASE HELP
MAVERICK [17]

1. option 1

2. option 1

3. option 4

4. option 1

5. option c

explanation is in picture attached.

excuse me.for my bad handwriting

8 0
3 years ago
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