Solve for x and y:
0.4x + 0.3y = 1.7,
0.7x - 0.2y = 0.8.
We have
0.4x + 0.3y = 1.7
0.7x – 0.2y = 0.8
Lets simplify these equations. We can rewrite them as,
⇒ 4x + 3y = 17 …eq.1
⇒ 7x – 2y = 8 …eq.2
To solve these equations, we need to make one of the variables (in both the equations) have same coefficient.
Lets multiply eq.1 by 2 & eq.2 by 3, so that variable y in both the equations have same coefficient.
Recalling equations 1 & 2,
4x + 3y = 17 , on multiplying equation with 2
7x – 2y = 8 , on multiplying equation with 3
We get,
8x + 6y = 34
21x – 6y = 24
On solving the equation, we get,
x = 2
Substitute x = 2 in eq.1/eq.2, as per convenience of solving.
Thus, substituting in eq.2, we get
7(2) – 2y = 8
⇒ 14 – 2y = 8
⇒ 2y = 14 – 8
⇒ 2y = 6
⇒ y = 3
Hence, we have x = 2 and y = 3.