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Solve graphically the pair of equations $x + 3 y = 6$ , and $3 x - 5 y = 18$ . Hence, find the value of $K$ if $7 x + 3 y = K$ .

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x = - 3, y = 1, K = 13

x = - 8, y = 5, K = 8

x = 1, y = 2, K = 29

x = 6, y = 0, K = 42

answer is D.

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Detailed Solution

Given equations are,

x + 3 y = 6

, and

3 x - 5 y = 18

.
For equation

x + 3 y = 6

For equation

3 x - 5 y = 18

Plotting the points to on graph,
Question Image

From the graph the point of intersection is

(x, y) = (6, 0)

.
Substituting

(x, y) = (6, 0)

7 x + 3 y = K

, we get,

7 \times 6 + 3 \times 0 = K

K = 42

Therefore, option (4) is correct.

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