Final answer:
The ordered pair that is a solution to both equations x = 16 - 2y and -3y - 4x = -29 is (2, 7). Substituting x into the second equation and then solving for y and subsequently x gives us the solution.
Step-by-step explanation:
To find the ordered pair that is a solution to both equations x = 16 - 2y and -3y - 4x = -29, we can use substitution or elimination. I will use substitution since the first equation already gives x in terms of y.
- Substitute x from the first equation into the second equation:
- Simplify and solve for y:
- Substitute y into the first equation to solve for x:
Thus, the ordered pair that is a solution to both equations is (2, 7).