Solve the simultaneous equations: 2x + y = 18, x - y = 6
Step 1) 2x + y = 18 (a) Step 2) x - y = 6 (b) Step 3) using (a): y = 18 - 2x (c) Step 4) using (b): y = x - 6 (d) Step 5) Combine (c) and (d): 18 - 2x = x - 6 (e) Step 6) Rearange (e) to find x: 3x = 24 --> x = (24/3) --> x = 8 Step 7) Incert x into (b): 8 - y = 6 (f) Step 8) Rearange (f) to find y: y = 2
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