which graph represents the solution to the given system y=-x+2 and y=3x-1 ??
-x+2=3x-1
4x = 3
x = .75
then y = 1.25
so
( .75 , 1.25 )
To determine which graph represents the solution to the given system, we can plot the graphs of the two equations and see where they intersect. The intersection point(s) will be the solution(s) to the system.
Let's start by plotting the line of the first equation, y = -x + 2.
1. Choose a range of x-values. Let's say -5 to 5 for this example.
2. For each x-value, calculate the corresponding y-value using the equation y = -x + 2.
For example, when x = -5, y = -(-5) + 2 = 5 + 2 = 7.
3. Plot these x and y coordinates on a graph.
4. Connect the points to form a straight line.
Next, let's plot the line of the second equation, y = 3x - 1, using the same process as above.
Now, we have the two lines on the graph. Look for the point at which the two lines intersect. This point represents the solution to the system of equations.
If the lines intersect at one point, that means there is a unique solution. If the lines coincide or overlap, it means there are infinite solutions. If the lines are parallel and never intersect, there is no solution.
By visually analyzing the graph, you can determine which graph represents the solution to the given system of equations. It's important to note that without a visual representation or further information, an exact answer cannot be provided.
1-a
2-b
3-c
4-d
5-c
6-d
7-a
8-c
9-a
10-a
11-a
12-a
13-b
14-b
15-d
16-b
17-a
18-a
19-a
20-a
21-a
22-a
23-d