Problem: how to solve,Determine if this point is a solution of the system
8x+11y=136
0x-y=-8
1) 8x + 11y = 136
2) 0x - y = -8
Multiply equation 2 by 11.
11(0x - y) = -8 * 11
3) -11y = -88
Add equation 3 to equation 1.
8x + 11y = 136
+( -11y = -88)
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8x = 48
8x = 48
8x/8 = 48/8
x = 6
Keep it simple. Use equation 2 to solve for y.
0x - y = -8
0(6) - y = -8
0 - y = -8
-y = -8
y = 8
Use equation 1 to check the values.
8x + 11y = 136
8(6) + 11(8) = 136
48 + 88 = 136
136 = 136
Answer: x = 6, y = 8