Question

How do you solve \[5x + 9 = 2\] ?

Answer 1

Hint: To solve the given equation, combine all the like terms or by using any of the elementary arithmetic functions i.e., addition, subtraction, multiplication and division hence simplify the terms to get the value of \[x\].

Complete step-by-step solution:
Let us write the given equation
\[\Rightarrow 5x + 9 = 2\]
Subtract 9 on both the sides of the obtained equation
\[\Rightarrow 5x + 9 - 9 = 2 - 9\]
As we can see that -9 and +9 implies to zero, hence the equation is
\[\Rightarrow 5x = 2 - 9\]
Subtracting the numbers in the equation, to get the value of \[x\]
\[\Rightarrow 5x = - 7\]
To get the value of \[x\], divide both sides of the equation by the same term i.e., by 5 we get
\[\Rightarrow \dfrac{{5x}}{5} = \dfrac{{ - 7}}{5}\]
\[\Rightarrow x = \dfrac{{ - 7}}{5}\]
Therefore, after simplifying the terms we get the value of \[x\] in as:
\[\Rightarrow x = \dfrac{{ - 7}}{5}\]
Hence, the value of \[x\] in the given equation is \[x = \dfrac{{ - 7}}{5}\].

Additional information: Equations that have more than one unknown can have an infinite number of solutions, finding the values of letters within two or more equations are called simultaneous equations because the equations are solved at the same time. There are three methods to solve the system of linear equations in two variables are: Substitution method, Elimination method and Cross-multiplication method

Note: The key point to solve this kind of equation is we need to combine all the like terms and then simplify the terms to get the variable asked either by rearranging or combining the terms of the equation whenever necessary. We know that Simultaneous equations are two equations, each with the same two unknowns and are "simultaneous" because they are solved together.