Answer:
[tex]x=\frac{2}{5}[/tex]
Step-by-step explanation:
Given:
The equation to solve is given as:
[tex]\frac{5}{2}\times x=1[/tex]
In order to solve this equation for 'x', we need to isolate 'x' from its coefficient.
The coefficient of 'x' here is [tex]\frac{5}{2}[/tex] which is a fractional coefficient. Therefore, we have to perform the mathematical operation twice to isolate 'x'.
Step 1: Multiply both sides by 2 to eliminate the denominator of the fractional coefficient. This gives,
[tex]2\times \frac{5}{2}\times x=1\times 2\\\frac{2\times 5\times x}{2}=2\\5x=2[/tex]
Step 2: Divide both sides by 5 to eliminate the numerator of the fractional coefficient. This gives,
[tex]\frac{5x}{5}=\frac{2}{5}\\\\x=\frac{2}{5}[/tex]
Therefore, the solution is [tex]x=\frac{2}{5}[/tex]
