Question

Which graph shows the solution to the system of equations? Solve the system graphically. Click on the graph until the correct solution appears.
2x + 3y = 6
x + y = 4

Answer 1

Answer with Step-by-step explanation:

As we can see from the graph solutions are:

Graph 1: (-2,6)

it doesn't satisfy the equation 2x + 3y = 6

Graph 2: (5,-1)

it doesn't satisfy the equation 2x + 3y = 6

Graph 3: (2,2)

it doesn't satisfy the equation 2x + 3y = 6

Graph 4: (6,-2)

It satisfies both the solutions

Hence, solution of the system

2x + 3y = 6

x + y = 4 is:

(6,-2)

Given by the fourth graph

Answer 2

The correct answer is:  "Graph [D]:  "the fourth graph provided".
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Explanation:  By looking at each graph in each of the 4 (FOUR) answer choices provided;   "Graph [D]" (the fourth answer choice) is the only graph in which two (2) of the same lines intersect at the same point with the particular coordinates: 
  "(6, -2)" ;  that are correct for BOTH of the 2 equations given.
Furthermore, we see that the coordinates for BOTH of the x and y- intercepts for BOTH of the equations given in this problem—are, in fact, points along EACH of the given corresponding 2 (two) corresponding lines in:  "Graph [D]".
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