Q. Which ordered pair is a solution of the equation?x+7y=17Choose 1 answer:(A) Only (10,1)(B) Only (−4,3)(C) Both (10,1) and (−4,3)(D) Neither
Step 1: Test ordered pair (10,1): Test the ordered pair (10,1) to see if it satisfies the equation x+7y=17.Substitute x with 10 and y with 1 into the equation:10+7(1)=10+7=17Check if the left side equals the right side:17=17
Step 2: Substitute values into the equation: Since the left side equals the right side for the ordered pair (10,1), this ordered pair is a solution to the equation.
Step 3: Check if left side equals right side: Test the ordered pair (−4,3) to see if it satisfies the equation x+7y=17.Substitute x with −4 and y with 3 into the equation:−4+7(3)=−4+21=17Check if the left side equals the right side:17=17
Step 4: Conclusion for (10,1): Since the left side equals the right side for the ordered pair (−4,3), this ordered pair is also a solution to the equation.
Step 5: Test ordered pair (−4,3): Both ordered pairs (10,1) and (−4,3) satisfy the equation x+7y=17, so the correct answer is that both are solutions.
More problems from Does (x, y) satisfy the linear equation?