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Answered on 19/11/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

For what value of k, do the equations 3x - y + 8 = 0 and 6x - ky = -16 represent coincident lines?

Vimala R.

Maths Teacher

The value of k should be equal to 2, and thus the equations, 3x - y + 8 = 0 and 6x - ky = -16 represent coincident lines
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Answered on 18/11/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4 :... read more
Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers? read less

Mamta Mund

Maths Tutor

Let numbers are 5x and 6x (5x-8)/ (6x-8) = (4/5) => 5(5x-8)= 4(6x-8) => 25x-40 = 24x-32 => 25x-24x= 40-32 => x= 8 Two numbers are 5x 8= 40 and 6x8 = 48
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Answered on 19/11/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

What is the value of k if the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel?

Kamal Kumar

Be a Educate Person

If lines are parallel then 3/2=2 k/5
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Answered on 02/12/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

What type of solution does the pair of equations have: x + 2y + 5 = 0, -3x - 6y + 1 = 0?

Sreedevi Addepalli

Teacher

On observing the given equations, we can say that the ratio of coefficients of 'x' and 'y' terms is same and is equal to (-1/3) but this is not equal to the ratio of constant terms. Hence, no solution.
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Answered on 01/12/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

The line represented by x = 7 is parallel to the x - axis. Justify whether the statement is true or not?

Sachin Prasad

Math Tutor

No. It is parallel to y-axis.
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Answered on 07/12/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

Write a pair of linear equations which has the unique solution x = -1, y = 3. How many such pairs can you write?

Sreedevi Addepalli

Teacher

x+y=2 and x-y+4=0. The solution of pair of linear equations is (-1,3). We can write many equations like this.
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Answered on 07/12/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

Solve: x + y = 3.3, 0.6 / (3x - 2y) = -1, 3x - 2y = 0?

Shambhavi S.

The second equation is undefined as denominator is 0, which is not possible. Thus these set of equations are inconsistent.
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Answered on 24/11/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

A person, rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream... read more
A person, rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream? read less

Digant Saurabh Singh

Serve-Well Engineer

2.5 km/hr.
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Answered on 04/12/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

A motorboat can travel 30 km upstream and downstream 28 km in 7 hrs. It can travel 21 km upstream and... read more
A motorboat can travel 30 km upstream and downstream 28 km in 7 hrs. It can travel 21 km upstream and return in 5 hrs. Find speed of the boat in still water and the speed of the stream? read less

Saurabh Gaur

Maths Wizard

Let speed of boat is x km/hr: speed of stream is y km/hr downstream = x+y upstream = x-y therefore equation will be 30/x-y + 28/x+y =7 21/x-y + 21/x+y =5 let x-y= 1/p and x+y= 1/q 30p + 28q = 7 multiply 1 by 3 90p+84q=21 21p... read more
Let speed of boat is x km/hr: speed of stream is y km/hr downstream = x+y upstream = x-y therefore equation will be 30/x-y + 28/x+y =7 21/x-y + 21/x+y =5 let x-y= 1/p and x+y= 1/q 30p + 28q = 7 multiply 1 by 3 90p+84q=21 21p + 21q = 5 2 by 4 84p+84q=20 by solving we get p=1/6 q= 1/14 further x+y = 14 and x-y =6 x=10 and y=4 will be the answer. read less
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Answered on 07/12/2016 Learn Linear Equations +2 Mathematics Class IX-X Tuition

A two digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting... read more
A two digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number? read less

Sreedevi Addepalli

Teacher

The number is 83.
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