alleryStart learning →Is the ordered pair (0, 2) a solution to the equation x + 4y = 8?
ANo, since 0 + 4(2) does not equal 8
BYes, since 0 plus 2 equals 8
CNo, it needs a negative y-value
DYes, since 0 + 4(2) equals 8
Answer & Solution
Correct answer: D. Yes, since 0 + 4(2) equals 8
1. Substitute x equals 0 and y equals 2 into the equation x plus 4y equals 8.
2. This gives 0 plus 4 times 2, which is 0 plus 8, or 8.
3. Since 8 equals 8, the equation is a true statement, so (0, 2) is a solution.
4. Adding x and y directly as 0 plus 2 ignores the coefficient of 4 in front of y and does not match the equation being tested.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 11 "Graphs", section 11.1 Use the Rectangular Coordinate System_
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