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3 years ago

Y = 5x − 7 −3x − 2y = −12 solved by substitution please show the work too so i can understand

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

3 0

Answer:

y=3, x=2

Step-by-step explanation:

-3x-2(5x-7)=-12 (substitute y=5x-7)

simplify

{-13x+14=-12\}

isolate x for -13x +14=-12: x=2

for y=5x-7 substitute x=2

simplify y=3

sorry i know this is quite lenghty but i hope this helps :) have a nice day !!

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What is the final balance for an account starting with $2000 at 3.5% interest compounded annually for 3 years?

liubo4ka [24]

A=final ballance
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T=time in years

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given
P=2000
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3 years ago

PLEASE HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!! 3) This problem is called the Collatz Conjecture and is an unproven statement in ma

Aneli [31]

The set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>How to generate the numbers in the Collatz Conjecture</h3>

To start with, we make use of the following starting point:

Starting point = 1

The rule is given as:

If the last number is odd, multiply it by 3 and add 1.
If the last number is even, divide the number by 2.

1 is an odd number.

So, we use the first rule

So, we have:

1 * 3 + 1 = 4

4 is an even number.

So, we use the second rule

So, we have:

4/2 = 2

So, the first three numbers in the Collatz Conjecture are:

1, 4, 2

Using the given rules, we have:

1, 4, 2, 1, 4, 2, 1, 4, 2....

The above means that there is only one set of repeating numbers in the Collatz Conjecture.

Hence, the set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>Fibonacci sequence</h3>

The first and the second numbers are given as:

First = 2

Second = 5

The current term of a Fibonacci sequence is the sum of the previous two terms.

Using the above rule, the first 10 terms are:

2, 5, 7, 12, 19, 31, 50, 81, 131, 212

<h3>The sum of the first 10 terms of the new sequence</h3>

We have:

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Sum = 2+ 5+ 7+ 12+ 19+31+50+81+131+212

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Sum = 550

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Read more about sequence at:

brainly.com/question/7882626

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2 years ago

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IgorC [24]

4x=5x-3
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3 years ago

Make x the subject of m = n + x/p<br>

melomori [17]

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3 years ago

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Neporo4naja [7]

Answer: There are no real solutions.

Step-by-step explanation:

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x = y^2

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y = y^2 + 3/2

And now we can rewrite this as:

y^2 - y + 3/2 = 0

This is a quadratic equation, and the solutions can be calculated with Bhaskara's equation, the solutions are:

$y = \frac{-(-1) +- \sqrt{(-1)^2 - 4*3/2*1} }{2*1} = \frac{1 + \sqrt{-5} }{2}$

We have a negative number inside the square root, this means that the solutions are complex numbers.

Then we can conclude that the system of equations has no real solutions.

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3 years ago