Question

Draw the graph of equations 2x + 3y = 12 and 2y − 1 = x. Determine the coordinates of the vertices of the triangle formed by these lines and x-axis and shade the triangular region.

Answer 1

Answer:

$2x + 3y = 12 \\ 2x = 12 - 3y \\ x = 12 - 3y \div 2 \\ x = 6 - 3y \\ \\ 2y - 1 = x \\ 2y = x + 1 \\ y = x + 1 \div 2 \\ y = x$