Answer:
(x, y) = (1, 2)
Step-by-step explanation:
The method of elimination works best when the coefficient of a variable in one equation is equal or opposite the coefficient of the same variable in the other equation.
Here, we notice that all of the coefficients of the second equation are multiples of 2. When we divide that equation by 2, we get ...
x -y = -1
This equation has a y-coefficient that is the opposite of the y-coefficient in the first equation. We can eliminate the y-variable by adding these equations together.
(3x +y) +(x -y) = (5) +(-1)
4x = 4 . . . . . . . simplify. Notice the y-variable has been eliminated.
x = 1 . . . . . . . . divide by 4
Using this value of x in the second equation, it tells us ...
1 -y = -1
Adding y+1 to both sides of this equation gives ...
2 = y
The solution to the system of equations is (x, y) = (1, 2).
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The graphing calculator confirms this solution.
