Step-by-step explanation:
x² - 14x + 58
= (x - 7)² + 9.
Hence the vertex is (7, 9).
Since both the expressions in x are equal to y then they are equal to each other, so
-2x + 3 = 13x - 4
-15x + 3 = -4
-15x = -7
x = 7/15
and y = -2(7/15) + 3 = 31/15 = 2 1/15
