Given: The statement " linear equations in one variable can be solved algebraically pr graphically "
To Determine: If the given statement is true or false
A linear equation is an equation in the form
[tex]\begin{gathered} ax+b=0 \\ \text{Where} \\ a\text{ and b are integers} \\ x\text{ is the variable} \end{gathered}[/tex]The linear equation has only one solution.
Let us solve algebraically as below
[tex]\begin{gathered} ax+b=0 \\ ax=-b \\ x=-\frac{b}{a} \\ a=2,b=4 \\ x=-\frac{4}{2} \\ x=-2 \end{gathered}[/tex]Let us solve graphically
[tex]\text{let a = 2, b = }4[/tex]Therefore, the equation becomes
[tex]2x+4=0[/tex]Plot the graph of the equation as shown below
The point where the line cuts the x-axis is the solution of the equation.
Hence
The statement "Linear equations in one variable can be solved algebraically and graphically" is TRUE
