Help me???

Question

what is the intersection point in the graph of the lines
5x-11=4y and 7x-1=8y

Answer 1

Set them equal and you'll find the point.

Start with:
5x - 11 = 4y
7x - 1 = 8y

Notice how you have 4y and 8y, so I would double the first equation:
10x - 22 = 8y
7x - 1 = 8y

So equate them:
10x - 22 = 7x - 1

Subtract 7x from both sides:
3x - 22 = -1

Add 22 to both sides:
3x = 21

Divide both sides by 3:
x = 7

Now just plug x = 7 back into one of the original equations:
7x - 1 = 8y
7(7) - 1 = 8y
48 = 8y
y = 6

So the point of intersection is (7, 6)

You can double check by putting this same point into the other equation to make sure that it is true:
5(7) - 11 = 4(6)
35 - 11 = 24
24 = 24 <-- check

So the point of intersection is definitely (7, 6)

Answer 2

At the point of intersection the x and y co ordinate satisfies both the equations.... that is why I am solving it by Simultaneous method.... it will give me an answer that is satisfying both the equations

5x-11=4y.....(1)
7x-1=8y.......(2)

multiplying (1) by 2..... so that the right hand side i.e. mainly the y component is cancelled.

thus (1) becomes....

10x - 22 = 8y
-- 7x - 1 = 8y (subtracting one from the other)
______________
3x - 21 = 0

therefore,
3x = 21
thus,
x = 7

substituting x = 7 in (1) { you can substitute it in any of the equations}

5x-11=4y
when x = 7

(5 x 7) - 11 = 4y
35 - 11 = 4y
24 = 4y
thus,
y = 6.

The point of intersection of the lines is (7,6)

Answer 3

Solve both equations for Y
Set them equal to each other and solve with x on one side and a number on the other. Plug the resulting number into both equations and it should give the same Y point which is where they cross

Answer 4

solve for x in one of the equations and then plug it in. when you find y, plot (x,y) in a graph and you'll get the intersection.

i think.. :P