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Use the substitution method to solve the system of equations. Choose the correct ordered pair.
16x – 2y = 74
2x – 2y = 4
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16x – 2y = 74 (1)
2x – 2y = 4 (2)
Track attentively my steps:
From eq(2) express 2x = 4 + 2y. Now substitute it into equation (1). You will get
8*(2x) - 2y = 74 ====>
8*(4 + 2y) - 2y = 74
32 + 16y - 2y = 74
14y = 74 - 32 ====> 14y = 42 ====> y = 
= 3.
Then 2x = 4 + 2y = 4 + 2*3 = 10 ====> x = 
= 5.
Answer. The solution is x = 5, y = 3.
Check. Check it on your own.
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Notice that I chose unusual way making substitution.
I did it in order for avoid unnecessary calculations.
My way perfectly works !
