Find what is missing in the following problem: 43 + ____ = 52.
To solve this you want to find out what you can add to 43 to get 52. After trying a few numbers you would be able to find out that the answer is 9. Thus, 43 + 9 = 52 and it works.
Add the following fractions together: 5/6 + 3/4 and put into simplest form.
To add two fractions together, you first want to get a common denominator on both fractions because you can't add fractions with different denominators. Thus, what 6 and 4 have in common is 12 and so you multiply 5/6 by 2 to the top and bottom to got a common denominator of 12 and multiple 3/4 by 3 to do the same. Thus, the fractions become 10/12 + 9/12. You then add the numerators of the fractions together to get 19/12 and that can't be reduced anymore so that is your final answer.
Solve the following system of equations for x and y: 2x+3y=13 4x-2y=2
You want to solve this by adding the two equations together and try to solve for one variable, Then you are going plug your answer for one of x or y into one of the equations and solve for the other unknown variable. First, I will multiply the top equation by -2 so that I can cancel out a variable. The top equation becomes -4x-6y=-26. I will then add the two equations together and get -8y = -24. Thus, y = 3. Plug this into either equation and solve for x. I will use the top equation. Thus, 2x + 3(3) = 13. Thus, 2x + 9 = 13 and this gets 2x = 4 which gets as an answer of x = 2 and y = 3.