Solve this system of equations by graphing. First graph the equations, and then type the solution.

Question

x+2y=
–
2
y=
–
1
3
x

Answer 1

To graph the equations, we will first rewrite them in slope-intercept form:

1) x + 2y = -2
2y = -x - 2
y = -0.5x - 1

2) y = -(1/3)x

Now we can graph the two equations:

Equation 1: y = -0.5x - 1 (blue line)
Equation 2: y = -(1/3)x (orange line)

The solution to this system of equations is the point where the two lines intersect, which is approximately (3, -1).

Therefore, the solution to the system of equations is x = 3, y = -1.

Answer 2

x + 2y = -2

Answer 3

I apologize for the typing error in my previous response.

The equation should have been written as:

1) x + 2y = -2

To graph this equation, we rewrite it in slope-intercept form:

x + 2y = -2
2y = -x - 2
y = -0.5x - 1

Now we can graph the equation:

Equation 1: y = -0.5x - 1 (blue line)

Unfortunately, the second equation was not written correctly in the original question, so without that equation we can only graph the one equation given. The solution to this equation is still the point where the line intersects the y-axis which is (0,-1).

Therefore, the solution to the equation x + 2y = -2 is x = 0, y = -1.