How do even solve this one
sum of two numbers is 32. their difference is 6. what are the numbers?
x-y=6
x+y=32
add the equations...
2x=38 and solve.
To solve this question, we can use the method of substitution or elimination. Here, I will illustrate the method of substitution.
1. Start with the given equations:
x - y = 6 (Equation 1)
x + y = 32 (Equation 2)
2. Solve Equation 1 for x:
x = y + 6
3. Substitute the value of x into Equation 2:
(y + 6) + y = 32
4. Simplify the equation:
2y + 6 = 32
5. Subtract 6 from both sides:
2y = 26
6. Divide both sides by 2:
y = 13
Now, we have found the value of y, which is 13. To find the value of x, substitute this value back into any of the original equations (I will use Equation 1):
x - 13 = 6
Add 13 to both sides:
x = 19
Therefore, the two numbers are 19 and 13.