Solve the system of equations using elimination: minus, 4, x, plus, 3, y, equals, minus, 23−4x+3y=−23 and minus, x, plus, y, equals, minus, 8−x+y=−8.
To solve the system of equations using elimination, we need to get rid of one of the variables when adding or subtracting the two equations.
Adding the two equations:
(-4x + 3y) + (x - y) = (-23) + (-8)
-3x + 2y = -31
Now we have a new equation with only two variables, x and y. From here, we could solve for one variable in terms of the other, but we can't completely solve the system to find the values of x and y.
Therefore, the system of equations using elimination is:
-3x + 2y = -31
-4x + 3y = -23