Question

solve using graphical method x+3=2y;2x+y=14​

Answer 1

Answer:

The required answer is $(31/5, 23/5)$

Step-by-step explanation:

Given: $x + 3 = 2y ; 2x + y = 14$

To find: the equations' solutions.

Solution:

The equation is as follows:

$x + 3 = 2y ; 2x + y = 14$

The following can be rewritten as:

$x -2y = 3----------(I)$

$2x + y = 14------------(II)$

Equation (II) should be multiplied by $2$ and added to (I)

$4x + 2y = 28$

$x - 2y = 3$

$5x = 31$

$x = 31/5$

In any equation, we can find the value of y by substituting the value of x:

x + 3 = 2y

$31/5 + 3 = 2y$

$2y = 31+15/5$

$2y = 46/5$

$y = 23/5$

With this as their common point, you can now plot the given lines on a graph.

Therefore, The solution of the equations is $(31/5, 23/5)$

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