Solve each of the following systems by graphing x-2y=8 3x-2y=12?

Question

Solve each of the following systems by graphing
x-2y=8
3x-2y=12
I am having a problem on how to get started on this problem I know how to graph but no clue how to do the problem

Answer 1

Convert each equation to slope intercept form

x - 2y = 8

x - 2y - x = - x + 8

- 2y = - x + 8

- 2y / - 2 = - x / - 2 + (8 / - 2)

y = x / 2 + ( - 4)

y = x/2 - 4

Insert the x value and solve for y

The x and y value are the graph

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3x - 2y = 12

3x - 2y - 3x = - 3x + 12

- 2y / - 2 = - 3x / - 2 + (12 / - 2)

y = 3x/2 + (- 6)

y = 3x/2 - 6

insert the x value and solve for y

The x and y value are the graph

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Answer 2

x-2y=8
=> 2y = x-8
=> y = 1/2 x - 8

put at least three different values of x and get the corresponding y values. plot on graph and join them with a straight line infinitely extended on both sides.
do similarly with the second equation. the point of intersection is the point whose co-ordinates satisfy the equations.

nb: three points to be taken such that line joining the two points passing through the third necessarily and sufficiently represents the equation.

Answer 3

solve each for y to be able to graph them

x-2y = 8
-2y = -x + 8
y = x/2 - 4
y intercept: (0, -4)
slope: 1/2 (up 1, right 2)

3x-2y = 12
-2y = -3x + 12
y = 3x/2 - 6
y intercept: (0, -6)
slope: 3/2 (up 3, right 2)

the point that they intersect is the solution for the set: (2, -3)

Answer 4

Graph the two lines. Wherever they intersect is the solution.

Answer 5

You need to put them in slope-intercept form.
y=mx+b
Then graph.

Answer 6

obviously we cant answer in graphs here on yahoo....... u wanna meet in person??