Question 659744
x = Memphis to Atlanta
y = Minneapolis to Houston

x = y - 782
x + y = 1570

Substitute the first equation into the second equation,
y - 782 + y = 1570
Combine like terms
2y - 782 = 1570
2y - 782 + 782 = 1570 + 782
2y = 2352
2y
2y/2 = 2352/2
y = 1176

Plug y into the first equation and solve for x
x = 1176 - 782 = 394

Memphis and Atlanta 394 miles
Minneapolis and Houston 1176 miles