9514 1404 393
Answer:
(x, y) = (2, 3)
Step-by-step explanation:
"Removal method" is a new one for me. We presume it is another name for the "elimination" or "addition" method.
Multiply the second equation by 5 and add the first.
(6x -5y) +5(-4x +y) = (-3) +5(-5)
-14x = -28 . . . . . simplify
x = 2 . . . . . . . . . divide by -14
-4(2) +y = -5 . . . substitute for x in the second equation
y = 3 . . . . . . . . . add 8
The solution is (x, y) = (2, 3).
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Check
We found y using the second equation, so we know the values of x and y work in that one. We only need to check the values in the first equation.
6(2) -5(3) = -3
12 -15 = -3 . . . . . true; answer checks OK
