Solve, graphically : 2x - 3y = 7 5x + y = 9

Question

KnowledgeBoat · Accepted Answer

First equation: 2x - 3y = 7 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -1, then 2 (-1) - 3y = 7 ⇒ y = -3 Let x = 0, then 2 0 - 3y = 7 ⇒ y = -2.3 Let x = 2, then 2 2 - 3y = 7 ⇒ y = -1 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -1 | 0 | 2 --|--- |---|--- y | -3 |-2.3| -1 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. Second equation: 5x + y = 9 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = 0, then 5 0 + y = 9 ⇒ y = 9 Let x = 1, then 5 1 + y = 9 ⇒ y = 4 Let x = 2, then 5 2 + y = 9 ⇒ y = -1 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | 0 | 1 | 2 --|---|---|--- y | 9 | 4 | -1 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. On the same graph paper, draw the graph for each given equation. Both the straight lines drawn meet at point P. As it is clear from the graph, co-ordinates of the common point are (2, -1). Solution of the given equations is : x = 2 and y = -1.

Mathematics

Solve, graphically :
2x - 3y = 7
5x + y = 9

Graphical Solution

Related Questions

For each equation, given below, find the slope and the y-intercept :
(i) 3x + 2y + 4 = 0
(ii) x - 3y - 8 = 0
(iii) x + y + 4 = 0
(iv) x = 3y + 2
(v) y = 5 - 4x
(vi) 2y + 5 = 0

Find the equations of the lines, whose :
(i) slope = - 4 and y-intercept = 2
(ii) slope = 0 and y-intercept = -5
(iii) slope = 3 and y-intercept = 4
(iv) slope = 1 and y-intercept = -5.

Solve, graphically :
15x - 8y = 29
17x + 12y = 75

Draw the graph of straight line y = -2x + 3. Use your graph to find :
(i) the intercept on y-axis
(ii) the area between the line and co-ordinate axes.

Mathematics

Solve, graphically :2x - 3y = 75x + y = 9

Graphical Solution

Related Questions

For each equation, given below, find the slope and the y-intercept :(i) 3x + 2y + 4 = 0(ii) x - 3y - 8 = 0(iii) x + y + 4 = 0(iv) x = 3y + 2(v) y = 5 - 4x(vi) 2y + 5 = 0

Find the equations of the lines, whose :(i) slope = - 4 and y-intercept = 2(ii) slope = 0 and y-intercept = -5(iii) slope = 3 and y-intercept = 4(iv) slope = 1 and y-intercept = -5.

Solve, graphically :15x - 8y = 2917x + 12y = 75

Draw the graph of straight line y = -2x + 3. Use your graph to find :(i) the intercept on y-axis(ii) the area between the line and co-ordinate axes.

Solve, graphically :
2x - 3y = 7
5x + y = 9

For each equation, given below, find the slope and the y-intercept :
(i) 3x + 2y + 4 = 0
(ii) x - 3y - 8 = 0
(iii) x + y + 4 = 0
(iv) x = 3y + 2
(v) y = 5 - 4x
(vi) 2y + 5 = 0

Find the equations of the lines, whose :
(i) slope = - 4 and y-intercept = 2
(ii) slope = 0 and y-intercept = -5
(iii) slope = 3 and y-intercept = 4
(iv) slope = 1 and y-intercept = -5.

Solve, graphically :
15x - 8y = 29
17x + 12y = 75

Draw the graph of straight line y = -2x + 3. Use your graph to find :
(i) the intercept on y-axis
(ii) the area between the line and co-ordinate axes.