alleryStart learning →Is the ordered pair (-4, 3) a solution to the equation x + 4y = 8?
ANo, since -4 + 4(3) equals 12
BYes, since -4 + 4(3) equals 8
CYes, since -4 - 4(3) equals 8
DNo, since -4 + 4(3) equals -4
Answer & Solution
Correct answer: B. Yes, since -4 + 4(3) equals 8
1. Substitute x = -4 and y = 3 into x + 4y = 8.
2. Compute 4 times 3, which is 12, so the left side becomes -4 + 12.
3. Simplify: -4 plus 12 equals 8, which matches the right side.
4. Since the equation is true for this pair, (-4, 3) 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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