Answer:
Explanation:
To solve this system of equations, we can first eliminate one of the variables by adding the equations together.
3x - y = 0
x + y = -2
Adding the equations together:
(3x - y) + (x + y) = 0 + (-2)
4x = -2
x = -1/2
Now we can substitute this value of x back into one of the original equations to find the value of y.
3x - y = 0
3(-1/2) - y = 0
-3/2 - y = 0
y = 3/2
So the solution of the system of equations is x = -1/2, y = 3/2.
To graph the system, we can substitute these values of x and y into the original equations to find the x and y intercepts, which are the points where the line crosses the x and y axis.
3x - y = 0
x = 0, y = 0
x + y = -2
x = 0, y = -2
So the x-intercept is (0, 0) and the y-intercept is (0, -2). Now we can plot these points on the coordinate plane and use them to draw the lines for each equation. We can see that the lines intersect at the point (-1/2, 3/2), which is the solution of the system.
graph:
y = 3/2 x + 0
y = -x -2
Both lines intersect at (-0.5,1.5)