Question
Solve the following pair of linear equations by the method of elimination:
2x + 3y = 8
2x = 2 + 3y
- x = 3 and y = 4
- x = 2.5 and y =1
- x = 13 and y = 6
- x = 2 and y =1
Hint:
Here we have to solve the system. Given equations are, 2x + 3y = 8 and 2x − 3y = 2. Use the basic concept and solve this question by elimination method.
The correct answer is: x = 2.5 and y =1
Here we have to solve the system.
Firstly , we are given with equation which is ,
2x + 3y = 8 ...(1)
2x − 3y = 2 ...(2)
Adding (1) and (2),
4x = 10
x = 
Substituting x = in (1), we get
5 + 3y = 8
3y = 3
y = 1
So, x = ,y = 1
Therefore, x = 2.5 and y = 1.
The correct answer is ( 2.5 , 1)
In this question, we have already given the value of y. Using elimination, method we are easily to solve this particular problem.
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