Algebra
posted by Lucille .
Can you please advise if I worked this problem correctly:
11 + x = 15y
2x  5y = 48
15y = 11+x
y = .73 + 15x
2x (.73 + 15X)  48
2x 3.65 75x = 48
73x  3.65 = 48
x = 51.65
x = .70

check it yourself like this:
11 + (.7) = 15(y) ?????
I think x = 19 and y = 2
http://www.idomaths.com/gauss_jordan.php
with
+1 15 11
+2 5 +48 
Rewrite your equations:
11 + x =  15 y Subtract 11 to both sides
11 + x  11 =  15 y  11
x =  15 y  11 Add 15 y to both sides
x + 15 y =  15y  11 + 15 y
x + 15 y =  11
2 x  5 y = 48 Multiply both sides by 3
2 x * 3  5 y * 3 = 48 * 3
6 x  15 y = 144
Now your system become:
x + 15 y =  11
6 x  15 y = 144
________________
x + 15 y =  11
+
6 x  15 y = 144
________________
x + 6x + 15 y  15 y =  11 + 144
7 x = 133 Divide both sides by 7
x = 133 / 7
x = 19
Replace this value in equation:
11 + x =  15y
11 + 19 =  15 y
30 =  15 y Divide both sides by  15
30 /  15 = y
 2 = y
y =  2
Solution:
x = 19 and y =  2
Proof:
11 + x = 15 y
11 + 19 =  15 * (  2 )
30 = 30
2 x  5 y = 48
2 * 19  5 * (  2 ) = 48
38 + 10 = 48
48 = 48
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