The sum of two numbers is 29 and their difference is 5 what are the two numbers
2 answers:
Answer:
The numbers are 17 and 12.
Step-by-step explanation:
Given : The sum of two numbers is 29 and their difference is 5.
To find : What are the two numbers?
Solution :
Let the number be x and y.
The sum of two numbers is 29.
i.e. .....(1)
The difference of two numbers is 5.
i.e. ....(2)
Solving equation (1) and (2) by adding them,
Substitute in equation (1),
Therefore, The numbers are 17 and 12.
You might be interested in
Answer:
no solutions
Step-by-step explanation:
Hi there!
We're given this system of equations:
x+y=3
4y=-4x-4
and we need to solve it (find the point where the lines intersect, as these are linear equations)
let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable
we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4
y=-x-1
now we have y set as an expression containing x
substitute -x-1 as y in x+y=3 to solve for x
x+-x-1=3
combine like terms
-1=3
This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.
Therefore the answer is no solutions
Hope this helps! :)
The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution
