The grid lines will help you find an exact solution (assuming the two lines actually cross at a grid intersection point). However, the two lines may intersect somewhere off the grid lines which is when an estimation will be the next best thing.

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

What point is the projection of q on a) r b) s c) t

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10