Solve for x and y:
x + y = 3, 4x – 3y = 26.
We have,
x + y = 3 …eq.1
4x – 3y = 26 …eq.2
To solve these equations, we need to make one of the variables in each equation have same coefficient.
Lets multiply eq.1 by 4, so that variable x in both the equations have same coefficient.
Recalling equations 1 & 2,
x + y = 3 [×4]
4x – 3y = 26
⇒ 4x + 4y = 12
4x – 3y = 26
On solving the two equations we get,
7y = - 14
⇒ 7y = - 14
⇒ y = - 2
Substitute y = - 2 in eq.1/eq.2, as per convenience of solving.
Thus, substituting in eq.1, we get
x + ( - 2) = 3
⇒ x = 3 + 2
⇒ x = 5
Hence, we have x = 5 and y = - 2.