Question

Solve the following system of equations graphically
4x – y = 5 and 5y – 4x = 7

Answer 1

Point of intersection of the lines will be (2, 3)

Explanation:

4x  -   y = 5 ---- (1)

-4x + 5y = 7 ---- (2)

Adding equations 1 & 2, we get: 4y = 12. So y = 12/ 4 = 3

Substituting y = 3 in equation 1, we get: 4x - 3 = 5

4x = 8

x = 8 / 4 = 2

Hence solved. x = 2 and y = 3.

If you draw a graph for the equations, you will get two straight lines. The co-ordinates of the point of intersection of the two lines will be the solution. The co-ordinates will be (2, 3).

Answer 2

Answer:

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Explanation:

Point of intersection of the lines will be (2, 3)

Explanation:

4x  -   y = 5 ---- (1)

-4x + 5y = 7 ---- (2)

Adding equations 1 & 2, we get: 4y = 12. So y = 12/ 4 = 3

Substituting y = 3 in equation 1, we get: 4x - 3 = 5

4x = 8

x = 8 / 4 = 2

Hence solved. x = 2 and y = 3.

If you draw a graph for the equations, you will get two straight lines. The co-ordinates of the point of intersection of the two lines will be the solution. The co-ordinates will be (2, 3).