solve the following system of linear equations by graphing graphing on your own piece of paper in your submitted answer describe what the graph looks like and what this tells you about the solution to the system of linear equations y equals x + 3 + "-4x" + 4 y equals 28
First, let's rewrite the system of equations to make it easier to work with:
1. y = x + 3
2. y = -4x + 4
To graph these equations, we can plot a few points and then connect them to form the lines. For the first equation, we can choose x = -3, 0, and 3 to find corresponding y values:
For x = -3, y = -3 + 3 = 0
For x = 0, y = 0 + 3 = 3
For x = 3, y = 3 + 3 = 6
So, three points are (-3, 0), (0, 3), and (3, 6) for the first line.
For the second equation, we can plot x = 0, 1, and 2 to find the corresponding y values:
For x = 0, y = -4(0) + 4 = 4
For x = 1, y = -4(1) + 4 = 0
For x = 2, y = -4(2) + 4 = -4
So, three points are (0, 4), (1, 0), and (2, -4) for the second line.
After plotting these points and connecting them, we will see that the two lines intersect at the point (1, 4). This point is the solution to the system of linear equations.
The graph will show two lines intersecting at the point (1, 4), indicating that this is the solution to the system of equations y = x + 3 and y = -4x + 4. This means that the value of x is 1 and the value of y is 4 for this system of equations.