Question

Solve graphically 2y-3x=14;2x+3y=8

Answer 1

$\huge{ \underline{ \boxed{ \sf{ \red{Graphical \: Representation}}}}}$

The given two equations are

• 2y - 3x = 14

Solving it further by moving -3x to the other side,

2y = 14 + 3x

Taking 2 to the other side from 2y,

$y = \frac{14 + 3x}{2}$

If x = 2, y = 10

If x = 4, y = 8

If x = -2, y = 4

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Now, the other equation is

2x + 3y = 8

Solving the equation further by taking 2x to the other side,

3y = 8 - 2x.

Taking 3 to the other side from 3y,

$y = \frac{8 - 2x}{3}$

If x = 1, y = 2

If x = -2, y = 4

If x = -5, y = 6

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We have solved the equations, have a look at the attachment for the graphical representation.

Note : I've done the graph with sketch for your convenience, but always use pencil.

Thank You! :)