Question

A) 9X + 16Y= 7
A) 4Y - 3X= 0
B) 3X - 2Y= 2
B) 5X + 8Y= -60
C) 15X + 11Y= 32
C) 7Y - 9X= 8

Answer 1

A) 9X + 16Y= 7

A) 4Y - 3X= 0

$9x + 16y = 7\\\\x=\frac{4}{3}y$

$9*\frac{4}{3} y + 16y = 7\\\\y = \frac{1}{4} \\\\x = \frac{4}{3}*\frac{1}{4} \\\\x = \frac{1}{3} \\\\(x,y)=(\frac{1}{3},\frac{1}{4} )$

B) 3X - 2Y= 2

B) 5X + 8Y= -60

$x=\frac{2}{3}+\frac{2}{3} y\\\\5x+8y=-60\\\\5(\frac{2}{3}+\frac{2}{3} y)+8y=-60\\\\y=-\frac{95}{17} \\\\x=\frac{2}{3} +\frac{2}{3} *(-\frac{95}{17} )\\\\x=-\frac{52}{17} \\\\(x,y)=(-\frac{52}{17},-\frac{95}{17} )$

C) 15X + 11Y= 32

C) 7Y - 9X= 8

$15x + 11y = 32\\\\x= -\frac{8}{9}+\frac{7}{9}y\\\\15(-\frac{8}{9}+\frac{7}{9}y )+11y=32\\\\y=2\\\\x=-\frac{8}{9}+\frac{7}{9}*2\\\\x=\frac{2}{3}\\\\(x,y) =(\frac{2}{3},2 )$