Question

0.4x - 1.5y = 6.5
0.3x + 0.2y = 0.9​

Answer 1

Answer:

x = 5 and y = - 3 are the solutions for the given pair of linear equations.

Step-by-step explanation:

By substitution method:

0.4x - 1.5y = 6.5 ...... (1)

0.3x + 0.2y = 0.9 ...... (2)

x = $\frac{0.9 - 0.2y}{0.3}$ ....(3)

Substituting value of x in equation 1,

$0.4(\frac{0.9 - 0.2y}{0.3}) - 1.5y = 6.5$

$\frac{0.36 - 0.08y}{0.3} - 1.5y = 6.5$

$\frac{0.36 - 0.08y - 0.45y}{0.3} = 6.5$

$\frac{0.36 - 0.53y}{0.3} = 6.5$

0.36 - 0.53y = 1.95

- 0.53y = 1.59

$\boxed{\bold{\mathsf{\pink{y = - 3}}}}$

Substituting y = - 3 in equation (3),

x = $\frac{0.9 - 0.2(-3)}{0.3}$

x = $\frac{0.9 + 0.6}{0.3}$

x = $\frac{1.5}{0.3}$

$\boxed{\bold{\mathsf{\pink{x = 5}}}}$

Therefore, x = 5 and y = - 3 are the solutions for the given pair of linear equations.