The lines represented by the equations y+3x=1y+3x=1 and 6y+2x=-546y+2x=−54 are

Question

Need help with a equation

Answer 1

y+3x =1

y =-3x +1 is a line with slope =-3 and y intercept (0,1)

6y+2x=-54

6y =-2x -54

y = -(1/3)x - 9 is a line with slope =-1/3 and y intercept (0,-9)

the two downward sloping lines intersect

when -3x+1 = -x/3 -9

-3x +x/3 =-9-1

-9x+x = -30

-8x =-30

x =30/8= 15/4

x= 3.75

y =-3(15/4)+1

=-45/4 +4/4

=-41/4

y= -10.25

the intersection point = (3.75, -10.25) = the solution to the two equations