Question

Write the following system of equations in Matrix form: 2x + 3y = 20; 5x + 7y = 11.​

Answer 1

Step-by-step explanation:

$2x + 3y = 20 \\ or \: \: 2x = 20 - 3y \\ or \: \: x = \frac{20 - 3y}{2 } \\ 5x + 7y = 11 \\ or \: \: 5x = 11 - 7y \\ or \: \: x = \frac{11 - 7y}{5} \\ \\ \frac{20 - 3y}{2} = \frac{11 - 7y}{5} \\ or \: \: 22 - 14y = 100 - 15y \\ or \: \: y = 78 \\ x = \frac{20 - 3 \times 78}{2} \\ = - \frac{214}{2} = - 107$