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Graph the system of equations below on a piece of paper. What is the solution?y = 2x – 3y = –x + 3A.(1, –1)B.(2, 1)C.(0, –3)D.(3, 0)SUBMITarrow_backPREVIOUS

Question

Graph the system of equations below on a piece of paper. What is the solution?

y=2x3 y = 2x - 3 y=x+3 y = -x + 3

A. (1, –1)
B. (2, 1)
C. (0, –3)
D. (3, 0)

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Solution

To solve this system of equations, we can set the two equations equal to each other because they both equal y:

2x - 3 = -x + 3

Next, we can solve for x by adding x to both sides of the equation:

2x + x = 3 + 3 3x = 6

Then, divide both sides by 3 to solve for x:

x = 6 / 3 x = 2

Now that we have x, we can substitute it into the first equation to solve for y:

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

So, the solution to the system of equations is (2, 1), which corresponds to answer choice B.

This problem has been solved

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