Answer:
As there are 2 equations and two unknowns there is 1 solution
Answer:
They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:
x + y = 64
The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:
x - y = 14
Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.
We do like the following:
Set the first number is a and the second is b.
We have two equations: a+2xb=24, 2xa+b=21
And we have 2xa+4xb=48 or 2xa=48-4xb
So: 48-4xb+b=21 or -3xb=21-48=-27 and we got b=-27:(-3)=9 and a= 6
a=6 and b=9
Answer:
<h2><em>29.4 length and 21.4 width.</em></h2>
Step-by-step explanation:
To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:
.
In addition, we know that the total area is 970 and the length is 8 ft longer than the width (
). So:

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions:
and
Therefore, the width is 21.4 ft, because the negative number cannot represent distances.
Using the relation between length and width:

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>