check which of the following are solutions of the equation 2x - 5y = 10
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1
Answer:
Option 2 and 3.
Step-by-step explanation:
Given : Equation 2x-5y=102x−5y=10
To find : Check which of the following is solution of the equation ?
Solution :
Substitute the values given in the equation if it equate to zero then it satisfy the condition.
Equation 2x-5y=102x−5y=10
1) (0,2)
2(0)-5(2)=102(0)−5(2)=10
-10\neq 10−10
=10
Not satisfying.
2) (0,-2)
2(0)-5(-2)=102(0)−5(−2)=10
10=1010=10
Satisfying.
3) (5,0)
2(5)-5(0)=102(5)−5(0)=10
10=1010=10
Satisfying.
4) (2\sqrt3,-\sqrt3)(2
3
,−
3
)
2(2\sqrt3)-5(-\sqrt3)=102(2
3
)−5(−
3
)=10
4\sqrt3+5\sqrt3=104
3
+5
3
=10
9\sqrt3\neq 109
3
=10
Not satisfying.
5) (\frac{1}{2},2)(
2
1
,2)
2(\frac{1}{2})-5(2)=102(
2
1
)−5(2)=10
1-10=101−10=10
-9\neq 10−9
=10
Not satisfying.
Therefore, option 2 and 3 are correct.
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