Question

Find a solution of equations by graphing Y = 3X - 1
-3X +Y =-2
4,11
1,11
No solution
Infinitely many solutions

Answer 1

To find the solution of the system of equations by graphing, we need to plot the equations on a graph and see where they intersect.

First, let's graph the equation Y = 3X - 1:

Plotting a few points, we have:
X = 0, Y = -1
X = 1, Y = 2
X = -1, Y = -4

We can draw a straight line passing through these points.

Next, let's graph the equation -3X + Y = -2:

Rewriting the equation in slope-intercept form, we get:
Y = 3X - 2

Plotting a few points, we have:
X = 0, Y = -2
X = 1, Y = 1
X = -1, Y = -5

We can draw a straight line passing through these points.

Now, let's locate the point of intersection between these two lines. From the graph, we can see that the two lines intersect at the point (1, 2).

Therefore, the solution to the system of equations is X = 1 and Y = 2.