Answer:
x = 7
y = 4
Step-by-step explanation:
The sum of two numbers equaling 11 can be written as
x + y = 3
The difference of the two numbers equaling 3 can be written as
x - y = 3
Where x and y represent the unknown numbers
So now we have a system of equations
[tex]\left \{ {{x + y = 11} \atop{x - y = 3}} \right.[/tex]
We can solve for y in the 1st equation by subtracting x on both sides
x + y = 11
y = 11 - x
We can plug the expression for y into the 2nd equation and solve for x
x - (11 - x) = 3
x - 11 + x = 3
2x - 11 = 3
2x = 14
x = 7
Now we can plug 7 for x into any of the equations and solve for y
1st equation:
7 + y = 11
y = 4
2nd equation:
7 - y = 3
-y = -4
y = 4
So, x = 7 and y = 4
Hope this helped!
