Question

3x-y-2=0 ;2x+y=8
slove graphically
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Answer 1

Answer:

3x – y – 2 = 0 ∴ y = 3x – 2 x 0 1 3 -1 y -2 1 7 -5 (x,y) (0,-2) (1,1) (3,7) (-1,-5) 2x + y = 8 ∴ y = 8 - 2x x 0 4 1 3 y 8 0 6 2 (x,y) (0,8) (4,0) (1,6) (3,2) The two lines intersect at point (2, 4). ∴ x = 2 and y = 4 is the solution of the simultaneous equations 3x – y – 2 = 0 and 2x + y = 8. ii. The given simultaneous equations are 3x + y = 10 ∴ y = 10 – 3x x 2 3 4 5 y 4 1 -2 -5 (x,y) (2,4) (3,1) (4,-2) (5,-5) x - y = 2 ∴ y = x - 2 x 0 2 4 5 y -2 0 2 3 (x,y) (0,-2) (2,0) (4,2) (5,3) The two lines intersect at point (3, 1). ∴ x = 3 and y = 1 is the solution of the simultaneous equations 3x + y = 10 and x – y = 2Read more on Sarthaks.com - https://www.sarthaks.com/842549/solve-the-following-simultaneous-equations-graphically-i-3x-y-2-0-2x-y-8-ii-3x-y-10-x-y-2

Answer 2

Answer:

(2,4)

Step-by-step explanation:

3x-y-2=0

x=(2+y)/3

x|1|2|0

y|1|4|-2

2x+y=8

2x=8-y

x=(8-y)/2

x|4|2|1

y|0|4|6

we can see the common coordinate is (2,4)