For the linear equation, given below, draw the graph and then use the graph drawn to find the area of a triangle enclosed by the graph and the co-ordinate axes :
3x - (5 - y) = 7

Question

For the linear equation, given below, draw the graph and then use the graph drawn to find the area of a triangle enclosed by the graph and the co-ordinate axes : 3x - (5 - y) = 7

KnowledgeBoat · Accepted Answer

3x - (5 - y) = 7 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -1, then 3 (-1) - (5 - y) = 7 ⇒ y = 15 Let x = 0, then 3 0 - (5 - y) = 7 ⇒ y = 12 Let x = 1, then 3 1 - (5 - y) = 7 ⇒ y = 9 Let x = 4, then 3 4 - (5 - y) = 7 ⇒ y = 0 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -1 | 0 | 1 | 4 --|--- |----|---|--- y | 15 | 12 | 9 | 0 Step 3: Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph. The area of the triangle ABO will be = altitude = OB = 12 square unit = 24 square unit Hence, the area of triangle = 24 square unit.

Mathematics

For the linear equation, given below, draw the graph and then use the graph drawn to find the area of a triangle enclosed by the graph and the co-ordinate axes :
3x - (5 - y) = 7

Coordinate Geometry

Related Questions

For the linear equation, given below, draw the graph and then use the graph drawn to find the area of a triangle enclosed by the graph and the co-ordinate axes :
7 - 3 (1 - y) = - 5 + 2x.

For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
y = 3x - 1
y = 3x + 2

Mathematics

For the linear equation, given below, draw the graph and then use the graph drawn to find the area of a triangle enclosed by the graph and the co-ordinate axes :3x - (5 - y) = 7

Coordinate Geometry

Related Questions

For the linear equation, given below, draw the graph and then use the graph drawn to find the area of a triangle enclosed by the graph and the co-ordinate axes :7 - 3 (1 - y) = - 5 + 2x.

For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.y = 3x - 1y = 3x + 2

For the linear equation, given below, draw the graph and then use the graph drawn to find the area of a triangle enclosed by the graph and the co-ordinate axes :
3x - (5 - y) = 7

For the linear equation, given below, draw the graph and then use the graph drawn to find the area of a triangle enclosed by the graph and the co-ordinate axes :
7 - 3 (1 - y) = - 5 + 2x.

For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
y = 3x - 1
y = 3x + 2