<PRE><B>Question 304798</B>
assume the equations are:
6m + n = 19
m - 2n = 14
:
Arrange the 1st equation for substitution
6m + n = 19
Subtract 6m from both sides, results:
n = -6m + 19
:
Substitute (-6m+19) for n in the 2nd equation
m - 2(-6m+19) = 14
Multiply inside the brackets by -2 (this changes the signs)
m + 12m - 38 = 14
Add 38 to both sides, results:
13m = 14 + 38
13m = 52
Divide both sides by 13
m = {{{52/13}}}
m = 4
;
Find n using the equation: n = -6m + 19, replace m with 4
n = -6(4) + 19
n = -24 + 19
n = -5
:
:
Check solution in the original 2nd equation
m - 2n = 14
we have: m = 4, n = -5
4 - 2(-5) = 14
4 + 10 = 14; confirms our solution</PRE>