x = 20
y = 7
Step-by-step explanation:
x + 3y = 41 ...equation 1
x = 2y + 6 ....equation 2
Using the blob method: This is another word for substitution method
Using substitution method:
Substitute x in equation 2 in equation 1
(2y + 6) + 3y = 41
2y + 6 + 3y = 41
5y + 6 = 41
5y = 41 - 6
5y = 35
y = 35/5
y = 7
Substitute for y in equation 2:
x = 2(7) + 6
x = 14 + 6
x = 20