x=6 and y= -2
Solution Given:
3x+7y=4
y=-⅓x
I will choose substitution method to solve
substituting value of y in equation. 3x+7y=4,we get
3x+7*-⅓x=4
3x-7x/3=4
taking LCM
(3x*3-7x)/3=4
(9x-7x)/3=4
doing criss cross multiplication
2x=4*3
x=12/2=6
substituting value of x in equation
y=-⅓*6=-2
x=6 and y= -2