Question

14. Draw the graphs of the pair of equations x - 2y + 2 = 0 and 4x - y - 4 = 0. Calculate the
area of the triangle formed by the lines drawn and the line representing y = 0.​

Answer 1

Answer:

$x - 2y = - 2 \\ x = - 2 + 2y ...(1)\\ \\ 4x - y = 4 \\ 4( - 2 + 2y) = 4 \\ - 2 + 2y = 1 \\ 2y = 1 + 2 = 3 \\ y = \frac{3}{2} \\ \\ x = - 2 + 2 \times \frac{3}{2} \\ x = 1$

plot values in graph