Question 184797
Solve the system of equations by the substitution method.
x+11y=51
3x+6y=18 
Let's see if there is a solution
x = (51 - 11y); use 1st equation for substitution in the 2nd equation:
:
3(51-11y) + 6y = 18
:
153 - 33y + 6y = 18
:
-27y = 18 - 153
:
-27y = -135
y = {{{(-135)/(-27)}}}
y = +5
:
Find x: x = (51-11y)
x = 51 - 11(5)
x = 51 - 55
x = -4
;
:
Check solution in the 2nd equation
3x + 6y = 18
3(-4) + 6(5) =
-12 + 30 = 18