Question

Solve the following equations
3x - 2y = 4, 5x – 2y = 0.
do this graphically​

Answer 1

We are asked to draw the graph of the following equations as we are asked to solve the question graphically.

Let us consider,

• Eqⁿ {1} = 3x - 2y = 4
• Eqⁿ {2} = 5x - 2y = 0

For eqⁿ {1} = 3x - 2y = 4

~ Firstly let us put x as 0 in equation!

»»» 3x - 2y = 4

»»» 3(0) - 2y = 4

»»» 0 - 2y = 4

»»» -2y = 4

»»» y = 4/-2

»»» y = -2

• Henceforth, coordinates (0,-2)

~ Now let us put y as 0!

»»» 3x - 2y = 4

»»» 3x - 2(0) = 4

»»» 3x - 0 = 4

»»» 3x = 4

»»» x = 4/3

»»» x = 1.3

• Henceforth, coordinates (1.3,0)

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c|c}\sf \red{x} & \sf 0 & \sf 1.3 \\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{} &\frac{\qquad \qquad \qquad \qquad}{}\\ \sf \red{y} & \sf -2 & \sf 0\end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

Now for eqⁿ {2} = 5x - 2y = 0

~ Firstly let us put x as 0 in equation!

»»» 5x - 2y = 0

»»» 5(0) - 2y = 0

»»» 0 - 2y = 0

»»» -2y = 0

»»» y = 0/-2

»»» y = 0

• Henceforth, coordinates (0,0)

~ Now put y as 0 in equation!

»»» 5x - 2y = 0

»»» 5x -2(0) = 0

»»» 5x - 0 = 0

»»» 5x = 0

»»» x = 0/5

»»» x = 0

• Henceforth, coordinates (0,0)

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c|c}\sf \red{x} & \sf 0 & \sf 0 \\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{} &\frac{\qquad \qquad \qquad \qquad}{}\\ \sf \red{y} & \sf 0 & \sf 0\end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

They intersect at (-2,-5)