So, first, to make things easier, you should convert these mixed fractions into improper fractions so it's easier to deal with later. The improper fractions will be 51/10 divided by 32/5.
Since you're are dividing fractions, there is a rule when dividing fractions, you have to multiply the number by the reciprocal, meaning the second fraction needs to be flipped and the divide signs will turn into a multiply sign. It will be:
51/10 times 5/32
This is the time where you simply where you can:
51/2 times 1/32
After simplifying, you times the numerator together (the top number of the fraction) and the denominator (the bottom number of the fraction).
=51/64
So x= 3, y= 7
3/7 = 12/21
Which number times 3 is equal 12
3(4) = 12
So 7(4) = 28
X= 12 , y= 28
GCF is the highest value that can divide an expression. The equivalent expression to 10x^2y + 25x^2 is 5x^2 (2y + 5)
<h3>Factoring polynomial expressions</h3>
GCF is the highest value that can divide an expression. Given the expression below
10x^2y + 25x^2
Find the factor of each
10x^2y = 5 * 2 * x^2 * y
25x^2 = 5 * 5 * x^2
Since 5x^2 is common to both factors, hence
10x^2y + 25x^2 = 5x^2 (2y + 5)
The equivalent expression to 10x^2y + 25x^2 is 5x^2 (2y + 5)
Learn more on factoring here: brainly.com/question/24734894
Answer
x - 2y = -1.
Step-by-step explanation:
Slope = (3 - (-2)) / (5 - (-5))
= 5/10
= 1/2
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
Here m = 1/2 and (x1, y1) = (5, 3):
y - 3 = 1/2(x - 5)
y - 3 = 1/2x - 5/2
y = 1/2x - 5/2 + 6/2
y = 1/2x + 1/2
Removing the fractions:
2y = x + 1
in standard form this is
x - 2y = -1
Yes, (2,5) is a solution to the equations
