Question

Solve the following systems of equations graphically:
x + y = 6
x – y = 2

Answer 1

Answer:

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Answer 2

Point of intersection will be (4, 2)

Step-by-step explanation:

Given linear equations are  

x + y = 6 ---- (1)

x – y = 2 ---- (2)

Adding equations (1) & 2, we get: 2x = 8. So x = 8/2 = 4

Substituting x = 4 in equation 1, we get: 4 + y = 6

y = 6 - 4

y = 2

Hence solved. x = 4 and y = 2.

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 (4, 2).

Point of intersection will be (4, 2)