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Is the ordered pair (0, 2) a solution to the equation x + 4y = 8?
AYes, since 0 + 4(2) equals 8
BNo, since 0 + 4(2) equals 6
CYes, since 0 - 4(2) equals 8
DNo, since 0 + 4(2) equals 2
Answer & Solution
Correct answer: A. Yes, since 0 + 4(2) equals 8
1. Substitute x = 0 and y = 2 into x + 4y = 8.
2. Compute 4 times 2, which is 8, so the left side becomes 0 + 8.
3. Simplify: 0 plus 8 equals 8, which matches the right side.
4. Since the equation is true for this pair, (0, 2) is a solution to x + 4y = 8.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.1 Use the Rectangular Coordinate System_
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