Solve the system: x + y = 7 and x - y = 1.

Get ready for the Midpoint Summative Exam! Comprehensive flashcards and multiple choice questions await, with hints and detailed explanations. Excel on your test day!

Multiple Choice

Solve the system: x + y = 7 and x - y = 1.

Explanation:
Solving a system with elimination uses adding or subtracting equations to cancel a variable and solve for the other. Here, add the two equations: (x + y) + (x − y) = 7 + 1. The y terms cancel, leaving 2x = 8, so x = 4. Plugging x = 4 into x + y = 7 gives 4 + y = 7, so y = 3. The pair that satisfies both equations is (4, 3). Check: 4 + 3 = 7 and 4 − 3 = 1. The other listed pairs don’t satisfy both equations (for example, (3, 4) yields 3 − 4 = −1, which isn’t 1).

Solving a system with elimination uses adding or subtracting equations to cancel a variable and solve for the other. Here, add the two equations: (x + y) + (x − y) = 7 + 1. The y terms cancel, leaving 2x = 8, so x = 4. Plugging x = 4 into x + y = 7 gives 4 + y = 7, so y = 3. The pair that satisfies both equations is (4, 3). Check: 4 + 3 = 7 and 4 − 3 = 1. The other listed pairs don’t satisfy both equations (for example, (3, 4) yields 3 − 4 = −1, which isn’t 1).

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy