The area of the triangle formed by the line 5x + 7y = 35, 4x + 3y = 12 and x-axis is

As we know, area of triangle is 1/2 * base * height
Where base is (7-3) =4
And height would be y coordinate of third vertice (where two remaining vertices are (3,0) and (7,0))
After solving given equations we will get y coordinate of third vertices as 80/13.
Hence height is 80/13 and base is of 4 unit.
Now area will be $$\frac{1}{2}\times base \times height$$
or $$\frac{1}{2}\times 4 \times 80/13$$