It is already IN standard form. If you don't want it in standard form notation it would be 74,700
5x + 2y = 22
10x + 9y = 59
so now we need to either eliminate the y or the x and we need to multiply both numbers by something so that they will be the same and we can add or minus them.
so here I will eliminate x because it's easier
we multiply the top equation by 2 and the bottom equation by 1 and we get
10x + 4y = 44
10x + 9y = 59
so now we can see that the number of x's are the same and we can just find the DIFFERENCE between the two equations if it was -10x and 10x we would ADD
= 5y = 15
notice that the x'a have cancelled each other out
now we divide both sides by 5 so
y=3
now we have y, we need to substitute it into one of the original equations, doesn't matter which one. I'm going to do the first one.
5x + 2y = 22
5x + 2(3)=22
5x + 6 = 22
now minus 6 from both sides
5x = 16
divide both sides by 5
x = 3.2
we have our answers but to be sure we need to just substitute the values for x and y into BOTH original equations.
5x + 2y = 22
= 16 + 6 = 22
10x + 9y = 59
= 32 + 27 =59
Tadaa!! and there you have it
y = 3
x = 3.2
hope this helped :)
Answer:
W = 4.95
Step-by-step explanation:
You want to start by writing down what you know, and forming a system of equations.
L= length W= width
2L+2W=14.7
L= 2.4
On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)
You would then substitute L from the bottom equation into the top equation to get:
2(2.4) +2W=14.7
Solving:
4.8+2w=14.7
W= 4.95
To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.
37:prime 65:composite 71:composite 82:composite
You can verify that Point X, with coordinate of (6,6) divides in a 1:2 ratio by finding the distance between points A and B. Doing so, you will find that the distance between points A and B is equal to 12, so 6 is half of 12. Therefore, the point (6,6) or X is halfway between points A and B(12), making the ratio 6:12 or simplified to 1:2.
