Question

Solve the system of equations ​

Answer 1

`((-58)/(9),(-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 = (1)/(2)x - 20\\\\5x = (1)/(2)x - 20 - 9\\\\5x = (1)/(2)x - 29\\\\5x - (1)/(2)x = -29\\\\(5*2)/(1*2)x-(1)/(2)x= -29\\\\(10)/(2)-(1)/(2)x= - 29\\\\(9)/(2)x= -29\\\\ x = -29*(2)/(9)\\\\x = (-58)/(9)\\\\`

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

`y = 5*(-58)/(9)+9\\\\y=(-290)/(9)+(9*9)/(1*9)\\\\y=(-290)/(9)+(81)/(9)\\\\y=(-290+81)/(9)\\\\y=(-209)/(9)`

`((-58)/(9) ,(-209)/(9))`