x = 3, y = 0
Step-by-step explanation:
5x + 3y = 15 ...equation 1
x - 6y = 3 ...equation 2
Using substitution method:
We can use any of the variables to work out the substitution method
let's make x the subject of formula in equation 2:
x - 6y = 3
x = 3 + 6y ...equation 3
Now we substitute 3+6y for x in equation 1:
5(3+6y) + 3y = 15
Expand the paranthesis:
15 + 30y + 3y = 15
collect like terms:
30y + 3y = 15 - 15
33y = 0
Divide both sides by 33:
33y/33 = 0/33
y = 0
We substitute 0 for y in any of the equation:
Using equation 2:
x - 6(0) = 3
x - 0 = 3
x = 3