Answer: The numbers are 14 and 5.
Step-by-step explanation:
Let the numbers are x and y .
According to the given question , we have the following system of linear equation:
[tex]x+y=19-----------------(1)\\\\ x-y=9------------(2)[/tex]
Adding equation (1) and (2) , we get
[tex]2x=28[/tex]
Divide both sides by 2 , we get
[tex]x=14[/tex]
Subtract equation (2) from (1) , we get
[tex]2y=10[/tex]
Divide both sides by 2 , we get
[tex]y=5[/tex]
Therefore , the numbers are 14 and 5.
The first number is 14 and the second number is 5 if the sum of the two numbers is 19 and their difference is 9.
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
Let's suppose the first number is x and the second number is y:
According to the question, we can draw two linear equations:
x + y = 19 ....(1)
x - y = 9 .....(2)
Adding equations first and second, we get:
2x = 19+9
2x = 28
x = 14
Put this value in the equation first, we get:
14 + y = 19
y = 5
Thus, the first number is 14 and the second number is 5 if the sum of the two numbers is 19 and their difference is 9.
Learn more about the linear equation here:
brainly.com/question/11897796
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