Question

Solve the system of equations ​

Answer 1

Answer:

$(\frac{-58}{9},\frac{-209}{9})$

Step-by-step explanation:  

y = 5x + 9  --------------------(I)

y = (1/2)x - 20 ------------------(II)

Substitute y = 5x + 9 in equation (II)

$5x + 9 = \frac{1}{2}x - 20\\\\5x = \frac{1}{2}x - 20 - 9\\\\5x = \frac{1}{2}x - 29\\\\5x - \frac{1}{2}x = -29\\\\\frac{5*2}{1*2}x-\frac{1}{2}x= -29\\\\\frac{10}{2}-\frac{1}{2}x= - 29\\\\\frac{9}{2}x= -29\\\\ x = -29*\frac{2}{9}\\\\x = \frac{-58}{9}$

Plugin x = -58/9 in equation (I)

$y = 5*\frac{-58}{9}+9\\\\y=\frac{-290}{9}+\frac{9*9}{1*9}\\\\y=\frac{-290}{9}+\frac{81}{9}\\\\y=\frac{-290+81}{9}\\\\y=\frac{-209}{9}$

$(\frac{-58}{9} ,\frac{-209}{9})$