alleryStart learning →Is the ordered pair (2, -4) a solution to the equation x + 4y = 8?
AYes, since 2 + 4(-4) equals 8
BNo, since 2 + 4(-4) equals -6, not 8
CYes, since 2 - 4(-4) equals 8
DNo, since 2 + 4(-4) equals -14, not 8
Answer & Solution
Correct answer: D. No, since 2 + 4(-4) equals -14, not 8
1. Substitute x = 2 and y = -4 into x + 4y = 8.
2. Compute 4 times -4, which is -16, so the left side becomes 2 + (-16).
3. Simplify: 2 minus 16 equals -14, which does not equal 8.
4. Since the equation is false for this pair, (2, -4) is not 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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