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LekaFEV [45]
4 years ago
14

Solve the following system of equations by linear combination: 3d – e = 7 d + e = 5

Mathematics
1 answer:
SashulF [63]4 years ago
8 0
3d - e = 7d + e = 5   ⇒   3d - e = 5 
                                       7d + e = 5


 3d - e = 5 
 7d + e = 5          +
-----------------------
10d / = 10
10d = 10
d = 10/10
d = 1

 7d + e = 5
7×1 + e = 5
7 + e = 5
e = 5 - 7
e = -2

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3 years ago
The sum of two numbers is 30. The difference of twice the larger number and three times the smaller number is 5. What is the pos
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Let’s give these two numbers variables
Let ‘a’ be the larger number
Let ‘b’ be the smaller number

Now from the question we know:
a + b = 30 or a = 30 - b
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Now, let’s plug the first equation into the second to find ‘b’:

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Now we solve for ‘a’:
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Hope this helps!


5 0
3 years ago
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