Question

Solve the following system of equations graphical
3x - y = 3
x - 2y = 4.
Shade the area of the region bounded by the line
and x-axis.
Also, find the area of the shaded region.​

Answer 1

Let's solve for x.

$3x−y=3$

Step 1: Add y to both sides.

$3x−y+y=3+y \\ </p><p></p><p>3x=y+3</p><p></p><p></p><p>$

Step 2: Divide both sides by 3

$\large\: \frac{3x}{3} = \frac{y + 3}{3 } \\ \large x = \frac{1}{3} y + 1$

Let's solve for x.

$x−2y=4</p><p></p><p></p><p>$

Step 1: Add 2y to both sides.

$x−2y+2y=4+2y \\ </p><p></p><p>x=2y+4</p><p></p><p>$