Bot GPT 4-o mini To find which ordered pairs are solutions to the equation \( 4x - 5y = 24 \), we can substitute each pair into the equation and see if it holds true.
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For (4, 8): \[ 4(4) - 5(8) = 16 - 40 = -24 \quad (\text{not a solution}) \]
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For (6, 0): \[ 4(6) - 5(0) = 24 - 0 = 24 \quad (\text{is a solution}) \]
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For (1, -4): \[ 4(1) - 5(-4) = 4 + 20 = 24 \quad (\text{is a solution}) \]
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For (−9, −12): \[ 4(-9) - 5(-12) = -36 + 60 = 24 \quad (\text{is a solution}) \]
The ordered pairs that are solutions to the equation \( 4x - 5y = 24 \) are:
- \( (6, 0) \)
- \( (1, -4) \)
- \( (-9, -12) \)
Thus, the correct answers are:
- (6, 0)
- (1, -4)
- (−9, −12)
1 answer