x+y = 10
x = 2/3 y
Surely you know that 4 is 2/3 of 6
3 is clearly not 2/3 of 7
What do you care about 2/3 of 10? That was not part of the problem. The key to word problems is taking the given facts and expressing them in math symbols. It appears that you did not do that, but just started guessing.
Translate problem situation to a system of equations. Do not solve. The sum of two numbers is 10 the first number is 2/3 of the second number. What are the numbers?
would it be 6, and 4? or 7, and 3? I know 2/3 of 10 is 6.66666667, so being after the decimal is higher than 5 usually goes up a number. Am I right?
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