SOLUTION: Find an equation of the line with slope 3 and containing the point of intersection of 2x+3y-5=0 and 3x-7y+5=0.

Question 672755: Find an equation of the line with slope 3 and containing the point of intersection of 2x+3y-5=0 and 3x-7y+5=0.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation of the line with slope 3 and containing the point of intersection of 2x+3y-5=0 and 3x-7y+5=0.
**
3x-7y+5=0
2x+3y-5=0
..
6x-14y+10=0 (multiply by 2)
6x+9y-15=0 (multiply by 3)
subtract
-23y+25=0
y=25/23≈1.087
2x=5-3y=5-75/23
x=(5-75/23)/2≈0.870
point of intersection: (0.870,1.087)
equation of line: y=mx+b
y=3x+b
solve for b using coordinates of point of intersection
1.087=3*.870+b
b=-1.523
y=3x-1.523
comment: what horrible answers!

RELATED QUESTIONS
Find an equation of the line with slope undefined and containing the point (-5, -1). (answered by Fombitz)

Find an equation of the line containing the centers of the two circles: x� + y� - 10x - (answered by Cromlix,MathLover1,Edwin McCravy)

find the equation of circle passing through the points of intersection of the lines x +... (answered by MathLover1)

find the equation of circle passing through the points of intersection of the lines x... (answered by Alan3354)

Find the equation of the line through the point of intersection of 2x +3y=5 and 3x -y=2... (answered by josgarithmetic)

Find the equation of the line through the point of intersection of 2x+3y=5 and 3x-y=2,and (answered by Fombitz)

Find the equation of the line with the given slope and containing the given point.... (answered by Fombitz)

Find and equation of the line with slope undefined and containing the point... (answered by stanbon)

Find the general form of the equation for the line with slope = -2/3 and containing the... (answered by ikleyn)