SOLUTION: plot the equation 3x+4y=7 on the graph paper taking four points. also plot the equation y=x on the same graph paper. at what point do the two lines meet?

Question 789115: plot the equation 3x+4y=7 on the graph paper taking four points. also plot the equation y=x on the same graph paper. at what point do the two lines meet?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
To graph one line you only need to plot two points and connect them with a straight line. Since the problem asks for 4 points, we do the extra unnecessary work.

For ,
-->-->, so chosing random values for we would get lots of fractions.
However, substituting gives us
{{y=(7-3)/4=4/4=1)}}} and we have the point (1,1).
Increasing or decreasing x by 4 gives us other integer values for y:
Substituting gives us
and we have the point (5,-2).
Substituting gives us
and we have the point (-3,4).
Substituting gives us
and we have the point (-7,7).

For , nice points are easier to find:
We could substitute a few scattered values for x, to get
--> for point (4,4),
--> for point (8,8),
--> for point (-4,-4), and
--> for point (-8,-8)

The lines seem to intersect at point (1,1), so seems to be the solution.
We need to verify by substituting in the original equations:
For , checks
For , checks.
So is the solution.
RELATED QUESTIONS
Plot the equation 3x + 4y = 7 on the graph paper taking four points. Also plot the... (answered by mananth)

find three points that solve the equation 3x-4y= -18 then plot them on the... (answered by Alan3354)

Graph the linear equation. Find three points that solve the equation, then plot them on... (answered by usyim88hk)

x=3.14 draw a graph of the equation on agraph paper by plotting points on it (answered by EdenWolf)

Graph the Linear equation. Find three points that solve the equation then plot on the... (answered by rothauserc)

Can you help me I cannot get this and I am afraid to ask the teacher again. I need to... (answered by elima)

Graph the linear equation. Find three points that solve the equation, then plot on the... (answered by fractalier)

Graph the equation. Plot at least three points for the graph. 3x + 5y =... (answered by stanbon)

graph the linear equation. find threee points that solve the equation, then plot on the... (answered by Fombitz,ewatrrr)