Question

Write one solution of each of the following equations:
(a) \[4x - 3y = 0\]
(b) \[2y - y = 3\]

Answer 1

Hint: The student’s must know the addition or subtraction of algebraic equations. Like terms can be added, subtracted, multiplied and divided directly but unlike terms can’t be added, subtracted multiplied and divided directly.

Complete step-by-step answer:
Part(a): Given equation:
\[
   = 4x - 3y = 0 \\
 \Rightarrow 4x = 3y \\
\]
Putting y=0; in above equation, we get:
\[
 \Rightarrow 4x = 3y \\
    \Rightarrow 4x = 3(0) \\
    \Rightarrow x = 0 \\
\]
One solution of \[4x - 3y = 0\]is (0,0).
Part(a): Given equation:
\[
   = 2y - y = 3 \\
    \Rightarrow y = 3 \\
\]
The only solution of this equation is y=3.

Note: Finding solutions of an algebraic equation is all about satisfying the equation. As we have two variables so to solve the equation we must require two equations. As here we have only one equation, we will solve it by putting a point of our choice from our side.