<PRE><B>Question 150418</B>
Solve the system
5x + 3y = -13
7x - 2y = 19
:
We can us the elimination method, 
multiply the 1st equation by 2
multiply the 2nd equation by 3
results:
10x + 6y = -26
21x - 6y = 57
-------------------addition eliminates y, find x
31x + 0y = 31
x = {{{31/31}}}
x = 1
:
Find y using the 1st equation, substitute 1 for x:
5(1) + 3y = -13
3y = -13 - 5
3y = -18
y = {{{(-18)/3}}}
y = -6
:
Check solutions in the 2nd equation:
7x - 2y = 19
7(1) - 2(-6) = 19
7 + 12 = 19 </PRE>