it often simplifies arithmetic
By solving the simultaneous equations the values of x and y should be equal to the given coordinate
There is absolutely no REQUIREMENT to do so. It is simply that many people prefer to work with whole numbers.
When solving simultaneous equations, you can use either addition or subtraction, depending on the equations. If the coefficients of one variable are the same (or negatives of each other), you can add or subtract the equations to eliminate that variable. This method simplifies the system, allowing you to solve for the remaining variable. The choice to add or subtract should be based on which method will simplify your calculations most effectively.
You should not have any remainders in fractions!
it helps you find the distance between fractions because the new name should be an equivalent fraction. Therefore it should be able to be divided\multiplied by 2 to make the original number.
It makes it allot less confusing. But, that is just my opinion.
Reduce it, if possible.
Different equations call for different steps to be followed when solving them. Exponents, parenthesis, addition, subtraction, multiplication and division are all generally used.
Graphing
By solving the simultaneous equations the values of x and y should be equal to the given coordinate
John should have first found the lowest common denominator of the given fractions.
Different equations call for different steps to be followed when solving them. Exponents, parenthesis, addition, subtraction, multiplication and division are all generally used.
There is absolutely no REQUIREMENT to do so. It is simply that many people prefer to work with whole numbers.
You should state the property used, such as distributive property of multiplication over addition or addition property of equality, etc.
It looks like your equations should be: x = 3y - 5 2x - y = 18 If this is the case, the equations turn out to be a big mess with lots of decimals/fractions.
Yes they should
For adding or substracting fractions first of all we should calculate the LCM( Lowest Common Multiplier) of the denominators in both of the fractions.