Q. Solve for x. Express your answer as a proper or improper fraction in simplest terms.115x−41=21Answer: x=
Isolate x term: First, we need to isolate the term containing x on one side of the equation. To do this, we will add (1/4) to both sides of the equation to move the constant term to the right side.(5/11)x−(1/4)+(1/4)=(1/2)+(1/4)
Simplify right side: Now, we simplify the right side of the equation by finding a common denominator and adding the fractions(21) and (41). The common denominator for 2 and 4 is 4, so we convert (21) to (42) and then add it to (41). (42)+(41)=(43) So, the equation now is: (115)x=(43)
Divide by coefficient: Next, we need to solve for x by dividing both sides of the equation by (5/11), which is the coefficient of x. To divide by a fraction, we multiply by its reciprocal. The reciprocal of (5/11) is (11/5). So, we multiply both sides of the equation by (11/5): (11/5)×(5/11)x=(3/4)×(11/5)
Simplify and solve: We simplify both sides of the equation. On the left side, (511) and (115) cancel each other out, leaving us with x. On the right side, we multiply the numerators and the denominators:x=4×53×11x=2033
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