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Solve the system of equations:

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

Solve the system of equations: Enter the x-coordinate in the FIRST box and the y-coordinate-example-1

1 Answer

6 votes

Answer:

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}

User Rubel
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