solve system of equations by graphing3x+y=-4x+2y=2

Question

I am lost on how to solve this equation and graph it

 

Answer 1

I am assuming you mean 3x+y = -4 and x+2y = 2. Isolate y in each equation.

3x+y = -4

y = -3x-4

and

x+2y = 2

2y = -x+2

y = (-1/2)x+1

Now we have both equations in slope-intercept form.

You can read off the y-intercepts and plug in various values of x to find other points.

For example, the y-intercept tells us that (0,-4) is on the first line, while plugging in x=1 gives y=-7 for the point (1,-7) also on that line.

A similar discussion applies for the second line other line.

You can then draw the lines through the points you computed to be on them.

You should then easily see where they intersect, which is at the point (-2,2) so that x=-2 and y=2.