Write and solve a system by elimination for this word problem

New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 7 van and 12 buses with 493 students. High School B rented and filled 8 vans and 3 buses with 167 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

Write and solve a system by elimination. Show work please. Thank you!

7v+12b=493
8v+ 3b=167
multiply equation B by -4
7v+12b=493
-32v-12b=-668
add them together
-25v=-175
divide by -25
v=7
substitute into original equation
49+12b=493
b=37
7 in each van, 37 in each bus.