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 = 2x – 3y = –x + 3A.(1, –1)B.(2, 1)C.(0, –3)D.(3, 0)SUBMITarrow_backPREVIOUS
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.
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