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amm1812
3 years ago
10

Is (2,-3) a solution for the linear equation y = 4x - 5? Justify your answer

Mathematics
2 answers:
uysha [10]3 years ago
8 0

Answer:

(2,-3) is not a solution to the equation

Step-by-step explanation:

To determine if a point is a solution to the equation, we substitute the point into the equation.  If it is true, then it is a solution, if it is false, then it is not.

y = 4x -5

-3 = 4(2) -5

-3 = 8-5

-3 = 3

This is false , so (2,-3) is not a solution to the equation

solong [7]3 years ago
5 0
<h3>Answer: No it is not a solution </h3>

Here is why:

The ordered pair (2,-3) means x = 2 and y = -3 pair up together

Let's plug these x and y values into the equation to get...

y = 4x - 5

-3 = 4*2 - 5 .... replace  with 2, replace y with -3

-3 = 8 - 5

-3 = 3 .... we end up with a false equation

Since we get a false equation at the end, this means the original equation is false too. So y = 4x-5 is false when (x,y) = (2,-3) meaning that this point is not on the line. So this point is not a solution.

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Step-by-step explanation:

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4 0
3 years ago
What is X and A??? The have to equal the same thing, but one is multiplying and one is adding (picture)
Aleksandr-060686 [28]
X*a = 244  is equation (1)
x+a = 2    is equation (2)

Solve equation (2) for 'a' to get
x+a = 2
a = 2-x
Call this equation (3)

We will plug equation (3) into equation (1)
x*a = 244
x*(a) = 244
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Notice how the 'a' is replaced with an expression in terms of x

Let's solve for x
x*(2-x) = 244
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If we use the discriminant formula, d = b^2 - 4ac, then we find that...
d = b^2 - 4ac
d = (-2)^2 - 4*1*244
d = -972
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So this means that 'x' and 'a' in those two original equations are non real numbers. If you haven't learned about complex numbers yet, then the answer is simply "no solution". At this point you would stop here. 

If you have learned about complex numbers, then the solution set is approximately 
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Note: it's possible that there's a typo somewhere in the problem that your teacher gave you. 

6 0
3 years ago
The jeweler buys gold for 1235.55 per ounce and resells it for 1376.44 per ounce how much profit does the jeweler make from buyi
AnnZ [28]

Profit made by jeweler from buying and reselling ounces of gold is 140.89 per ounce

<u>Solution:</u>

Given that

Price at which jeweler buy gold = 1235.55 per ounce

Price at which jeweler resells gold = 1376.44 per ounce

We need to calculate profit.

Buying price of 1 ounce of gold = 1235.55

Reselling price of 1 ounce of gold = 1376.44  

<em>Profit = Reselling price – buying price</em>

So profit on 1 ounce of gold = 1376.44 – 1235.55 = 140.89  

Hence profit made by Buying and Selling gold will be 140.89 per ounce

4 0
3 years ago
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