5x + 2y = 7
-5x + 4y = 5
You can immediately eliminate the x-terms and subtract:
2y = 7
4y = 5
-_____
-2y = 2
y = -1
Substitute back to find x:
-5x + 4y = 5
5x + 4(-1) = 5
5x - 4 = 5
5x = 9
x = 1.8
Finally, substitute back to check your work:
5x + 2y = 7 => 5(1.8) + 2(-1) = 7 => 9 - 2 = 7 <--True
-5x + 4y = 5 => -5(1.8) + 4(-1) = 5 => -9 - 4 = 5 <--False
Answer:
There is no solution.
The greatest common factor of all the coefficients is of 8.
<h3>What is the greatest common factor?</h3>
The greatest common factor between multiple terms is the largest value for which all terms are divisible.
In this problem, the equation is:
The terms are 16, 56 and 96. Hence, to find the gcf, we have to keep factoring them by prime factors while all can be factored by the same value, hence:
16 - 56 - 96|2
8 - 28 - 48|2
4 - 14 - 24|2
1 - 7 - 12
There are no terms by which both 7 and 12 are divisible, hence the procedure is stopped and:
gcf(16, 56, 96) = 2³ = 8.
You can learn more about the greatest common factor at brainly.com/question/26140769
Answer:
The statement is not reasonable.
Step-by-step explanation:
Josefina gave away 130% of her stamp collection.
We cannot give more than what we have.
lets understand it mathematically.
suppose i have x stamp.
according to question, i have to give 130% of my stamp collection
130% of x = 130/100 x = 1.3x
so, i have to given 1.3x stamp while i do have only x stamp which does not make any sense.
maximum i can give is x stamp.
x stamp in percentage of my total stamp collection which is also x will be
= x/x*100 = 100%
Thus, maximum one can give is 100% of what he has.
Thus, we can say that Josefina gave away 130% of her stamp collection is not reasonable.
