Questions: Courses v Algebra 2 A: 3 (A) Week 5: Linear Programming W5: Unit 2 Quiz Question 3 Graph the following system of equations and find the solution point on the graph. Enter the solution -x+2y=4 -2x+y=-1 Clear All Draw:

Courses v Algebra 2 A: 3 (A) Week 5: Linear Programming W5: Unit 2 Quiz Question 3 Graph the following system of equations and find the solution point on the graph. Enter the solution -x+2y=4 -2x+y=-1 Clear All Draw:
Transcript text: Courses v Algebra 2 A: 3 (A) Week 5: Linear Programming W5: Unit 2 Quiz Question 3 Graph the following system of equati point on the graph. Enter the solution \[ \begin{array}{l} -x+2 y=4 \\ -2 x+y=-1 \end{array} \] Clear All Draw:
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Solution

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Solution Steps

Step 1: Find the intersection point

The solution to the system of equations is the point where the two lines intersect. In the given graph, the lines intersect at the point (2, 3).

Step 2: Verify the solution

Substitute the coordinates of the intersection point (2,3) into both equations to verify the solution. First equation:

-x + 2y = 4
-(2) + 2(3) = 4
-2 + 6 = 4
4 = 4

Second equation:

-2x + y = -1
-2(2) + (3) = -1
-4 + 3 = -1
-1 = -1

Both equations hold true, confirming that (2, 3) is the solution.

Final Answer:

The solution to the system of equations is (2, 3).

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