Question

Solve the system of equations:

Enter the x-coordinate in the FIRST box and the y-coordinate in the SECOND box.

Answer 1

x = 5

y = -2

Explanation:

Solving system of equations:

`y = (-5)/(7)x +(11)/(7) --------------------(I)\\\\\\y = (7)/(5)x-9 -------------------------------(II)`
`\sf Substitute \ y = (7)/(5)x - 9 \ in \ equation \ (I),`

`~~~~~~~~\sf (7)/(5)x - 9 = (-5)/(7)x+(11)/(7)\\\\\\Add \ (5)/(7)x \ to \ both \ the \ sides,\\\\\\(7)/(5)x+(5)/(7)x - 9 =(11)/(7)\\\\\\Add \ 9 \ to \ both \ sides, \\\\\\`

`~~~\sf (7)/(5)x +(5)/(7)x=(11)/(7)+9\\\\\\(49x+25x)/(35)x = (11+63)/(7)\\\\\\ ~~~~~~~~~~ (74)/(35)x = (74)/(7)`

`\sf x = (74)/(7)*(35)/(74)\\\\\\ \boxed{\bf x = 5}`

Substitute x = 5 in equation (II),

`\sf y =(7)/(5)*5-9\\\\\\y = 7 - 9\\\\\boxed{\bf y = -2}`