solve the following system of equations graphically: 4x- 7y+28=0: 8x-14y-30=0
Answers
Answer:
no solution , the equations are parallel with each other.
Step-by-step explanation:
the equations are 4x-7y+28=0
and 8x-14y-30 =0
the y-intercept of 4x-7y-28=0
is (0,4) and x intercept is (-7,0)
join these two intercepts to draw the line 4x-7y+28=0.
now do the same procedure for the other equation as well and find it's intercepts in the cartesian axis.
we get x-intercept as (15/4,0) and y-intercept as (0,-15/7).
now join these two intercepts to draw the line 4x-7y-28=0.
now wherever these 2 lines meet. that point is our solution. but when we construct these lines. they seem to not meet at all and are parallel with each other.
hence graphically we have solved the problem and our answer is that these system of equations have no solution.
you can also see why it is parallel since the coefficients of x and y are same in both equations.