find three solutions for the equation 2x+3y=4
Answers
Question :- find three solutions for the equation 2x+3y=4 ?
Solution :-
→ 2x + 3y = 4
putting x = 0,
→ 2 * 0 + 3y = 4
→ 0 + 3y = 4
→ 3y = 4
→ y = (4/3)
therefore, first solution is (0, 4/3) .
→ 2x + 3y = 4
putting y = 0,
→ 2x + 3 * 0 = 4
→ 2x + 0 = 4
→ 2x = 4
→ x = 2
therefore, second solution is (2, 0) .
→ 2x + 3y = 4
putting x = 1,
→ 2 * 1 + 3y = 4
→ 2 + 3y = 4
→ 3y = 4 - 2
→ 3y = 2
→ y = (2/3)
therefore, third solution is (1, 2/3) .
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SOLUTION
TO DETERMINE
Three solutions for the equation 2x + 3y = 4
EVALUATION
The given equation is 2x + 3y = 4
The above equation represents the equation of a line in Cartesian Coordinate system
Any point on the line is a solution of the equation
Three solution are :
1. ( 2, 0)
Since ( 2 × 2 ) + ( 3 × 0) = 4
In the graph A represents the point (2,0)
2. ( 8, - 4)
Since ( 2 × 8) + ( 3 × - 4) = 4
In the graph B represents the point (8,- 4)
3. ( - 10, 8)
Since ( 2 × - 10) + ( 3 × 8) = 4
In the graph C represents the point ( - 10, 8)
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