Question

2x+3y=12 solve in graphically manner​

Answer 1

Step-by-step explanation:

By rebuilding it to an easier formula.

This formula can be "rebuild" into the egular form of

$y = a×x + b.$

We substract 2x from each side of the equation,

we then get;

3y = -2x + 12

We then divide everything by 3.

The formula then looks like this;

y = (-2/3 × x) + 12,

which you should be able to graph.

Answer 2

Solving Graphically

Solution.

• We find a set of solutions in this method.

• The given linear equation is $2x+3y=12.$

• $\begin{array}{|c|c|c|}\cline{1-3}x&0&6\\ \cline{1-3}y&4&0\\ \cline{1-3}\end{array}$

• Plotting the two points $(0,\:4)$ and $(6,\:0)$, we can find the given straight line.

• Therefore, the required solution is $x=0,\:y=4;\:x=6,\:y=0.$

Note:

$\quad$ The given linear equation has infinite number of solutions because an infinite number of points lie on a straight line.