Final answer:
To find the ordered pair that is a member of both equations, we can solve the system of equations using elimination. The ordered pair that satisfies both equations is (8, -3).
Step-by-step explanation:
To find the ordered pair that is a member of both equations 2x-4y=28 and x-y=11, we can solve the system of equations by using substitution or elimination. Let's use elimination.
- Multiply the second equation by 4 to make the coefficients of y in both equations equal. The new equation is 4x-4y=44.
- Subtract the second equation from the first equation to eliminate y. (2x-4y) - (4x-4y) = 28 - 44. Simplifying, we get -2x = -16, or x = 8.
- Substitute the value of x into either original equation to find y. Using the first equation, we have 2(8) - 4y = 28. Simplifying, we get 16 - 4y = 28. Solving for y, we have -4y = 12, or y = -3.
Therefore, the ordered pair that satisfies both equations is (8, -3).