which of the following is the solution to the equation x-3y=-6?
Answers
Answer:
Equation 1: x + 3y = 6 (Given)
x - x + 3y = 6 - x
0 + 3y = 6 - x
3y = 6 - x
(3y)/3 = (6 - x)/3
(3/3)y = (6/3) - (x/3)
(1)y = 2 - (x/3)
y = 2 + (-x/3)
y = (-x/3) + 2
Equation 2: y = (-1/3)x + 2y = (-1/3)x + 2
y = (-1/3)(3) + 2
y = -1 + 2
y = 1
The orderedwe substitute the values of the solution/ordered pair (3, 1) into the Equation 1, we get:
x + 3y = 6
3 + 3(1) = 6
3 + 3 = 6
6 = 6
Let's take one more example for emphasis: Let x = -6, then we get the following corresponding y-value:
y = (-1/3)x + 2
y = (-1/3)(-6) + 2
y = (6/3) + 2
y = 2 + 2
y = 4we substitute the values of the solution/ordered pair (-6, 4) into the Equation 1, we get:
x + 3y = 6
-6 + 3(4) = 6
-6 + 12 = 6
6 = 6
Step-by-step explanation:
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