Solve the system of equations graphically. 2x-y= 4, 2x=3y= -4?

Question

the answer is (3,1). I need to know step by step how to arrive at this answer.

Answer 1

Okay first, you need to put both equations into slope-intercept form (y=mx+b).

2x-1y=4 (Subtract the 2x from both sides)
-1y=4+-2x (Divide both sides by negative one)
y= -4 + 2x
m/slope: 2/1 b:-4

As for the second equation, you put two equal signs, I'm not sure how the problem is really set up. But you could probably figure it out from the first equation.

Then, graph both lines on graph paper. Where they intersect is the solution.

Answer 2

draw the lines by first making x=0, then y=0

for example in the first equation the line would go through the points x=0, y=-4 and x=2, y=0 these can be found by substituting in the equation 2x-y=4

Do the same process with the other equation and drawn the two lines. Where they cross is the solution you require.

Answer 3

in order to do this, you do have to graph the lines. do this by basically getting everything BUT the y on one side. i'll help u with the first equation.

2x-y=4
*subtract 2x from both sides and you get...
-y= 4 - 2x
*now to get just y, take the opposite of each value...
y= -4 + 2x

your slope is 2, y intercept 4 and just plug in any number for x to get y and thats ur second point. u can graph that line.

just do the same for the second equation and u'll get it! good luck =)

Answer 4

Graph the two lines.

The point at which they intersect is the answer.

Answer 5

Do your own homework! Kids today!! LOL