Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.

Question

8y + 2x = 48
2x = 4y – 12

Answer 1

from the second:
x = 2y - 6
sub into the first

8y + 2(2y-6) = 48
8y + 4y - 12 = 48
12y = 60
y = 5
into the second:
x = 2(5) - 6
= 4