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What is 16X-2Y equals 74 and 2X-2Y equals 4 using the substitution method of system of equations?
Wiki User
∙ 12y ago
1. 16x - 2y = 74
2. 2x-2y = 4
We have a "-2y" in both 1. and 2. so if we subtract 2. from 1. this will cancel out the "y's" and leave us with only one variable (x).
So, 1. minus 2. gives:
3. 14x = 70
x = 70/4
x = 5
Substituting x =5 back into 1. gives:
(16 * 5) - 2y = 74
Thus
80 - 2y = 74
2y = 80 - 74
2y = 6
y = 3
Now to be absolutely certain we have solved this correctly let's put our values for both x and y back into 2. to check that the values equate. Doing so gives us:
(2 * 5) - (2 * 3) = 4
10 - 6 = 4
That is correct so we know that the answer is:
x = 5 and y = 3.
Wiki User
∙ 12y ago
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