Question

Five more than a number x is six less than twice a number y. How do you solve for x?

Answer 1

Hint: To solve any algebraic expression we need to perform any one of the forms such as addition, subtraction, multiplication and division. The given question consists of statements in which we need to form an equation which consists of constant variable x and y, hence as per given we need to solve for x, hence simplify the terms with respect to both x and y, to get the value of x.

Complete step-by-step answer:
Five more than a number x is six less than twice a number y, hence we need to make the two sides equal, so add 6 to the equation as:
 \[ \Rightarrow \left( {x + 5} \right) + 6 = 2y\]
Now, solve for x:
 \[x + 5 + 6 = 2y\]
 \[ \Rightarrow x + 11 = 2y\]
Subtract -11 on both sides of the equation we get:
 \[ \Rightarrow x + 11 - 11 = 2y - 11\]
Hence, the value of x is:
 \[ \Rightarrow x = 2y - 11\]
So, the correct answer is “x = 2y - 11”.

Note: Linear equations are equations of the first order. These equations are defined for lines in the coordinate system. An equation for a straight line is called a linear equation. The general representation of the straight-line equation is \[y = mx + b\] , where m is the slope of the line and b is y-intercept.
The key point to evaluate the given equation is that we must know all the rules of addition and subtraction. To find any values for these types of statements we need to form equations, by considering the given variables, next solving as per the statements stated we can find out the values of any variables asked.