2. Solve the following system of equations by graphing. 𝑦 = −𝑥 + 5 𝑦 = 2𝑥 − 4 E. (3, 2) F. (1, 4) G. (6, -1

Answer 1

To solve this system of equations by graphing, we need to plot the two lines represented by the equations 𝑦 = −𝑥 + 5 and 𝑦 = 2𝑥 − 4 on the same graph and find the point where they intersect.

First, let's graph the equation 𝑦 = −𝑥 + 5:

- To graph 𝑦 = −𝑥 + 5, we start at the y-intercept, which is 5, and then use the slope, which is -1, to find another point on the line. From the y-intercept, we move down 1 unit and right 1 unit to find another point.

Now, let's graph the equation 𝑦 = 2𝑥 − 4:

- To graph 𝑦 = 2𝑥 − 4, we start at the y-intercept, which is -4, and then use the slope, which is 2, to find another point on the line. From the y-intercept, we move up 2 units and right 1 unit to find another point.

Now, we can see that the two lines intersect at the point (3, 2). This means that the solution to the system of equations is:

𝑥 = 3
𝑦 = 2

Therefore, the correct answer is option E: (3, 2).