Question

How do you solve \[x - 16 = - 10\]?

Answer 1

Hint: The algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. The given equation is a linear equation and the equation consists of constant variable x, hence to solve for the given equation combine all the like terms and shift the terms and then simplify the terms to get the value of x.

Complete step by step solution:
Let us write the given equation:
\[x - 16 = - 10\]
Add 16 to both sides of the equation as:
\[x - 16 + 16 = - 10 + 16\]
Add the numbers:
\[x = - 10 + 16\]
Hence, adding the terms, we get:
\[ \Rightarrow x = 6\]

Additional information:
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 the y-intercept.

Note: When the equation has a homogeneous variable (i.e., only one variable), then this type of equation is known as a Linear equation in one variable. The key point to evaluate the given equation is that we must know all the rules of addition and subtraction i.e., for subtraction: if both the signs of the integers are positive, the answer will be the positive integer and if both the signs of the integers are negative, the answer will be the negative integer. If the signs of the integers are different, subtract the values, and take the sign from the largest integer value and for addition, the sign remains the same.