Solve the following pairs of equations by reducing them to a pair of linear equations:
Solve the following pairs of equations by reducing them to a pair of linear equations:
Solve the following pairs of equations by reducing them to a pair of linear equations:
6x + 3y = 6xy
2x + 4y = 5x
Solve the following pairs of equations by reducing them to a pair of linear equations:
Then the given system of equation becomes
10u + 2v = 4 ...(i)
15u - 5v = -2 ...(ii)
For making the coefficient of v in (i) and (ii) equal, we multiply (i) by 5 and (ii) by 2 and then adding, we get
Putting the value of u in (i), we get
10u + 2v = 4
Substituting the value of x in (iv), we get
x - y = 1
⇒ 5 - y - y = 1
⇒ 5 - 2y = 1
⇒ -2y = 1 - 5 ⇒ -2y = -4
⇒ y = 2
Now, substituting the value of in (v), we get
x = 5 - y
= 5 - 2 = 3
Hence, x = 3, y = 2.
Solve the following pairs of equations by reducing them to a pair of linear equations: