Example 1: If2y – 5 = 13,what is the value ofy? Solution: The given linear equation is: 2y – 5 = 13 ⇒ 2y – 5 + 5 = 13 + 5[Add 5 on both sides] ⇒ 2y = 18[Simplify] ⇒ y = \( \frac{18}{2} \)[Divide by 2 on both sides] ...
To put it another way, a solution is a value or a set of values (one for each unknown) that, when substituted for the unknown, makes the equation equal and true. The solution set of an equation is the collection of all of its solutions. For example, What value of y is required ...
Example 2: Determine if the value 3 is a solution of the equation:4x – 2 = 3x + 1Solution:We will substitute the value of 3 in this equation and will check if the left-side equation is equal to the right-hand side.So, 4(3) – 2 = 3(3) + 1or, 12 – 2 = 9 + 1or, ...
An equation is a statement that says that the value of two mathematical expressions is equal. In simple words, an equation says that two things are equal. It is denoted by the equal to sign ‘=’. Example of an Equation:8+2= 12-2 The above equation says that the left side of the ...
An equation is a mathematical expression of the form A=B, usually containing variables (unknowns), which is used to calculate values or solutions. An example of an equation is x + 4 = 14, where x is a variable. The goal is to determine what value for x results in making the equal ...
A.pay little attention to priceB.focus on objects' actual valueC.think about the value equationD.face a less-than-best choice(4)From which website would you most probably find this text? ___A.https://www.lifestyle.com/healthB.https://www.what-is-on.com/localC.https://www.consumers...
For example, the tree-height function h(age) = age×20 makes no sense for an age less than zero. ... it could also be letters ("A"→"B"), or ID codes ("A6309"→"Pass") or stranger things. So we need something more powerful, and that is where sets come in:A...
The business’s balance sheet is at the end of the section. Example 1 You just started your software business after a year of saving $10,000 to contribute to your new company. The $10,000 is now your equity in the business, so you also need to increase your assets. The equation ...
Let's go back to our first example of a literal equation, x2+y2=1. We want to try and find some solutions to this equation. One way to do this is to guess-and-check by substituting certain values of x and y to see if the equation works. A good place to get started is by le...
In a difference equation, change takes place in discrete time intervals. For example, in modeling populations of seasonally breeding animals, it is preferable to use difference equations rather than differential equations because the size of the next generation is largely determined by that of the ...