Question

Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method.

Answer 1

Answer:

The value of x is 1.4 and y is -3.6

Step-by-step explanation:

The steps are :

$- 9.5x - 2.5y = - 4.3 - - - (1)$

$7x + 2.5y = 0.8 - - - (2)$

$(1) + (2)$

$- 9.5x + 7x - 2.5y + 2.5y = - 4.3 + 0.8$

$- 2.5x = - 3.5$

$x = \frac{7}{5} \: or \: 1.4$

$substitute \: x = 1.4 \: into \: (2)$

$7(1.4) + 2.5y = 0.8$

$9.8 + 2.5y = 0.8$

$2.5y = - 9$

$y = - \frac{18}{5} \: or \: - 3.6$