Question

X/4+x/3=7/12Solve and check the equation

Answer 1

we have the equation

`(x)/(4)+(x)/(3)=(7)/(12)`

Solve for x

Multiply on both sides by 12 to remove the fractions

`\begin{gathered} (x)/(4)*12+(x)/(3)*12=(7)/(12)*12 \\ \\ 3x+4x=7 \\ combine\text{ like terms} \\ 7x=7 \\ Divide\text{ by 7 on both sides} \\ x=1 \end{gathered}`

Check the answer

Substitute the value of x in the original equation

`\begin{gathered} (x)/(4)+(x)/(3)=(7)/(12) \\ \\ (1)/(4)+(1)/(3)=(7)/(12) \\ Multiply\text{ by 12 on both sides} \\ (1)/(4)*12+(1)/(3)*12=(7)/(12)*12 \\ 3+4=7 \\ 7=7\text{ is ok} \end{gathered}`