Evaluate the expression when x = 6 and y = 2. ? = 20 + 2x + y - 5x
Answer: 4. To obtain the answer, the variables must be inserted into the given equation. ? = 20 + 2(6) + 2 -5(6) Then, simplify the expression to obtain the result. ? = 20 + 12 + 2 - 30 ? = 4 So, the answer is 4.
Add the fractions to obtain a single number without using a calculator. (10/2) + (14/6) + 2 + (17/8) = ?
275/24 In order to add the fractions, they must have the same denominator. The simplest way to do this is to multiply 8 by 6, in this case. Convert all numbers to the same denominator: (240/48) + (112/48) + (96/48) + (102/48) = ? This is done by multiplying each number by 1 in the form of a fraction that will result in the desired denominator. For example, (17/8) * (6/6) = (102/48). In multiplying by 1, which is (6/6), the values are not changed but the fraction appears in a different form. Next step is to add all of the numbers up. This results in (550/48). This can be further simplified to (275/24).
4x - (1/2)x + 3 = 10 Determine the variable x.
x = 2 Begin by subtracting 3 from both sides of the equation to obtain: 4x - (1/2)x = 7 Next, simplify the variable x by combining terms: (7/2)x = 7 Finally, find the value of x by multiplying both sides of the equation by (2/7), the reciprocal of the fraction. Variable x is equal to 2.