Question 1057037: solve the system of equations using elimination. all work must be shown please help.
x+9=28 -5x+8y=19 Found 2 solutions by rothauserc, MathTherapy:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! 1) x + 9y = 28 (Note I think you meant 9y)
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2) -5x + 8y = 19
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solve equation 1) for x
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x = 28 - 9y
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substitute for x in equation 2)
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-5(28 - 9y) + 8y = 19
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-140 + 45y + 8y = 19
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53y = 159
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y = 3
x = 28 - 9(3) = 1
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x = 1 and y = 3
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check the answer by substituting for x and y in equation 2)
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-5(1) + 8(3) = 19
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-5 + 24 = 19
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19 = 19
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our answer checks
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You can put this solution on YOUR website!
solve the system of equations using elimination. all work must be shown please help.
x+9=28 -5x+8y=19
Assuming the 9 in x + 9 = 28 is actually 9y, we get:
x + 9y = 28 ------ eq (i)
- 5x + 8y = 19 ------ eq (ii)
All you have to do is multiply eq (i) by 5 to get a new equation: eq (iii).
Add eq (iii) to eq (ii) to ELIMINATE x and solve for y
Substitute value of y into any of the 2 original equations [eq (i) is the easier of the 2], and then solve for x.
There you go!! Nothing complex!
