Q. Which ordered pair is a solution of the equation?y=3x+5Choose 1 answer:(A) Only (2,11)(B) Only (3,13)(C) Both (2,11) and (3,13)(D) Neither
Substitute x-value into equation: First, we will substitute the x-value of the ordered pair (2,11) into the equation y=3x+5 and check if the corresponding y-value is 11. If we substitute x=2, we get y=3×2+5.
Check if y-value matches: After performing the calculation, we find that y=6+5=11, which matches the y-value of the ordered pair (2,11). Therefore, the ordered pair (2,11) satisfies the equation.
Substitute x-value into equation: Next, we will substitute the x-value of the ordered pair (3,13) into the equation y=3x+5 and check if the corresponding y-value is 13. If we substitute x=3, we get y=3×3+5.
Check if y-value matches: After performing the calculation, we find that y=9+5=14, which does not match the y-value of the ordered pair (3,13). Therefore, the ordered pair (3,13) does not satisfy the equation.
Identify the solution: Since the ordered pair (2,11) satisfies the equation and the ordered pair (3,13) does not, the correct answer is that only the ordered pair (2,11) is a solution to the equation.
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