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3 years ago

Solve the system by substitution 2.5x-3y=-13 3.25x-y=-14

Mathematics

2 answers:

Degger [83]3 years ago

4 0

Solve for the first variable in one equation then substitute the results into the other equation. (-4,1)

taurus [48]3 years ago

3 0

Answer:

$(-4,1)$

Step-by-step explanation:

we have

$2.5x-3y=-13$ -----> equation A

$3.25x-y=-14$ -----> isolate variable y

$y=3.25x+14$ ------> equation B

Substitute equation B in equation A

$2.5x-3[3.25x+14]=-13$

$2.5x-9.75x-42=-13$

$-7.25x=-13+42$

$-7.25x=29$

$x=-4$

Find the value of y

$y=3.25(-4)+14=1$

the solution is the point $(-4,1)$

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What's the answer for 3/4 (x+3)=9

Vitek1552 [10]

We want to solve the equation :

$\displaystyle{ \frac{3}{4}(x+3)=9$

first, multiply both sides by 4:

$\displaystyle{ \cancel{4} \cdot \frac{3}{ \cancel 4 }(x+3)=4\cdot 9$

$\displaystyle{ 3(x+3)=36$

divide both sides by 3:

$x+3=12$

add -3 to both sides:

$x=9$

Answer: x=9

3 0

3 years ago

You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return

ozzi

Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

D is distance

R is rate (speed)

T is time

First Leg:

Rate = x mph

Time = 20/60 = 1/3 hour

Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

Rate = x - 1

Time = 30/60 = 1/2 hour

Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = $\frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6}$ miles

Since both the distance are equal we can equate and solve:

$\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3$

Plugging this x = 3 into the total distance expression, we get:

$\frac{5x-3}{6}\\\frac{5(3)-3}{6}\\=2$

Total distance, 2 miles

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3 years ago

Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi

AfilCa [17]

A you just divide bro

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3 years ago

Suppose I have Rs 1000 and I put it in the bank. What will be the amount I have after 5 years if Interest is 5% per annum?

vichka [17]

Answer:

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2 years ago

Read 2 more answers

A line passes through $A(1,1)$ and $B(100,1000)$. How many other points with integer coordinates are on the line and strictly be

jonny [76]

Answer:

Step-by-step explanation:

Integers are whole numbers or opposite of whole numbers.

The slope is 1.

How?

Change of y is 100-1=99.

Change of x is 100-1=99.

The slope is 99/99=1 or 1/1.

So if we start at (1,1) and we rise 1 and run 1 right, we get (2,2).

If we do that again from (2,2) we get (3,3).

Following the pattern of going up 1 and right from each new location discovered we get all the of these points:

Start (1,1)

(2,2)

(3,3)

(4,4)

(5,5)

(6,6)

....

(96,96)

(97,97)

(98,98)

(99,99)

end (100,100)

So we just need to count all the numbers from 2 to 99.

99-2+1

97+1

7 0

3 years ago