9514 1404 393
Answer:
(-6, -4)
Explanation:
If you're going to use technology to answer your questions, you may as well use appropriate technology: a graphing calculator. It shows the solution to the system is the ordered pair (-6, -4).
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The first of the given equations can be solved for y, then that used to substitute for y in the second equation.
y = 5x +26
2x -7(5x +26) = 16
2x -35x -182 = 16
-198 = 33x . . . . . . . . add 33x-16
-6 = x . . . . . . . . . . . . divide by 33
y = 5(-6) +26 = -4 . . . find y
The solution is (x, y) = (-6, -4).