SOLUTION: The sum of two numbers is 66. Their difference is 8. Write in system of equations Can someone help me please

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Question 993472: The sum of two numbers is 66. Their difference is 8.
Write in system of equations
Can someone help me please
Found 2 solutions by rothauserc, MathTherapy:
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
x + y = 66
x - y = 8
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solve second equation for x
x = y + 8
substitute for x in first equation
y+8 +y = 66
2y = 58
y = 29
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x - 29 = 8
x = 37
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x = 37 and y = 29

Answer by MathTherapy(10556) (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 66. Their difference is 8.
Write in system of equations
Can someone help me please

Let larger number be L, and smaller, S
We then get:
Add the 2 equations to ELIMINATE S, and to determine L, the larger number
Substitute the value for L in any of the 2 equations to find the value of S, the smaller number