In this case the two equations<span> describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the </span>equation<span> of either line. Thus the pair (x, y) is the one and only </span>solution to the system of equations<span>.</span>
Answer:
The larger number is 37. This makes the smaller number 56 - 37, which is 19.
Step-by-step explanation:
The first step is to pick variables for the two numbers. Lets call the smaller number x and the larger number y.
Since the sum of the two numbers is 56, this means that x + y = 56. Let's call this equation 1 and save it for later.
The next sentence says:
The smaller number is 18 less than the larger number. So, 18 less than the larger number would be y - 18. So, the smaller number must be equal to this, so
x = y - 18
Replace the x in equation 1 with y - 18
x + y = 56
(y-18) + y = 56 (replace x with y-18)
2y - 18 = 56 (add the y's)
2y = 74 (add 18 to both sides)
y = 37 (divide both sides by 2)
So, the larger number is 37. This makes the smaller number 56 - 37, which is 19.
Hope this helps!! :)
0.25 ....decimal
3/4, 3:4....ratio
2/3 = 6/9....equivalent fractions, fractions
4/8 --> 1/2....equivalent fractions,fraction,simplest form
Answer:
For the given expression: 
Step-by-step explanation:
Here, the given expression in statement form is given as:
5 X minus Y equals 6 + negative 2 X plus Y = 8
Now, converting the given statement mathematically, we get:
5X - Y = 6 + (-2X) + Y = 8
Now, considering first and the last terms,we get:
5 X - Y = 8 .... (1)
and , considering second and the last terms,we get:
6 + (-2X) + Y = 8 or, -2X + Y = 2 ......... (2)
Adding (1) and (2) , we get:
5 X - Y - 2 X + Y = 8 + 2
or, 3 X = 10
or, X = 10/3 = 3.34
Now, 5X - Y = 8
or, 
Hence, for the given expression:
Answer:
$18.90 + $6.30 = $25.20
Step-by-step explanation:
