Short Answer TypeFor what values of a and b does the following pair of linear equations have an enfinitc no. of solution :
2x + 3y = 7
a (x + y) -b (x - y) = 3a + b - 2
Solve the following pair of linear equations by the elimination method and the substitution method
x + y = 5 and 2x – 3y = 4
Solve the following pair of linear equations by the elimination method and the substitution method
3x + 4y = 10 and 2x – 2y = 2
Solve the following pair of linear equations by the elimination method and the substitution method
3x – 5y – 4 = 0 and 9x = 2y + 7
Solve the following pair of linear equations by the elimination method and the substitution method![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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Now, we have following pairs of equations
3x + 4y = - 6 ...(i)
3x -y = 9 ...(ii)
Since the coefficients of ‘x’ in (i) and (ii) are equal. So simply by subtracting we can eliminate the variable i.e., x.
Now putting the value ofy in eqn. (i), we get
3x + 4y = - 6
3x + 4(-3) = - 6
⇒ 3x - 12 = -6
⇒ 3x = 6
⇒ x = 2
Hence, x = 2, y = -3.
Substitution method :
We have,
Now, we have following pairs of equations
3x + 4y = -6 ...(i)
3x - y = 9 ...(ii)
From (ii), we have
3x - y = 9
⇒ y = 3x - 9 ...(iii)
Substituting the value of (iii) in (i), we get
3x + 4y = -6
⇒ 3x + 4(3x - 9) = -6
⇒ 3x + 12x - 36 = -6
⇒ 15x = -6 + 36
⇒ 15x = 30
⇒ x = 2
Now, substituting the value ofx in (iii), we get
y = 3x - 9
= 3(2) - 9 = 6 - 9= -3
Hence, x = 2, y = -3.
Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to It becomes 
if we only add I to the denominator. What is the fraction?
Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?
Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
Meena went to a bank to withdraw ` 2000. She asked the cashier to give her ` 50 and ` 100 notes only. Meena got 25 notes in all. Find how many notes of ` 50 and ` 100 she received.
Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ` 27 for a book kept for seven days, while Susy paid ` 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
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