Q. Determine whether or not the ordered pair is a solution to the equationy=3x+8(a) (−5,−7)(b) (−1,3)(c) (31,g)
Given Equation: We are given the equation y=3x+8 and we need to check if the ordered pairs (−5,−7), (−1,3), and (31,g) are solutions to this equation. We will substitute the x-value from each ordered pair into the equation and check if the corresponding y-value satisfies the equation.
Ordered Pair (−5,−7): For the ordered pair (−5,−7), substitute x=−5 into the equation y=3x+8. y=3∗(−5)+8y=−15+8y=−7Check if this is equal to the y-value from the ordered pair. −7=−7Since the values match, (−5,−7) is a solution to the equation.
Ordered Pair (−1,3): For the ordered pair (−1,3), substitute x=−1 into the equation y=3x+8.y=3∗(−1)+8y=−3+8y=5Check if this is equal to the y-value from the ordered pair.5=3Since the values do not match, (−1,3) is not a solution to the equation.
Ordered Pair (31,g): For the ordered pair (31,g), substitute x=31 into the equation y=3x+8. y=3(31)+8y=1+8y=9Check if this is equal to the y-value from the ordered pair. Since we do not have a specific value for g, we cannot determine if (31,g) is a solution unless (31,g)0.
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