Which is the BEST estimate for the value of x?
1 answer:
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Answer:
The value of x for equation is 3.4
The value of y for equation is 5.2
Step-by-step explanation:
Given as :
The two linear equation are
2 x + y = 12 ........A
4 x - 3 y = 2 .........B
Now, Solving both equations , we get
3 × ( 2 x + y ) + (4 x - 3 y) = 3 × 12 - 2
Or, 6 x + 3 y + 4 x - 3 y = 36 - 2
Or, (6 x + 4 x) + (3 y - 3 y) = 34
Or, 10 x + 0 = 34
∴ x =
i.e x = 3.4
So, The value of x for equation , x = 3.4
Put the value of x into eq A
∵ 2 x + y = 12
Or, y = 12 - 2 x
Or, y = 12 - 2 × 3.4
Or, y = 12 - 6.8
∴ y = 5.2
So, The value of y for equation , y = 5.2
Hence, The value of x for equation is 3.4 and The value of y for equation is 5.2 Answer
Answer:
(C) Infinitely many solutions
Step-by-step explanation:
Converting the lines into the from
So, .
Hence, these lines have infinitely many solutions.
Answer:
Bike alone = 39
Step-by-step explanation:
Given that:
Total number = n(T) = 100
Jog= n(J)
Bike = n(B)
Bike and jog = n(BnJ) = 21
Number who jog = 46
Jog alone = 46 - 21 = 25
Neither jog nor bike = 15
Let bike alone = x
Hence,
Jog alone + bike alone + jog and bike + none of the two = 100
25 + x + 21 + 15 = 100
x = 39
