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kykrilka [37]
3 years ago
14

Solve. {3d−e=7 d+e=5 Use the linear combination method. The solution is (2, −1). There are infinitely many solutions. The soluti

on is (3, 2). There is no solution.
Mathematics
1 answer:
nydimaria [60]3 years ago
7 0

Answer:

The solution of the given equations are (3,2).

Step-by-step explanation:

Given equations are :

3d−e=7 ...(1)

d+e=5 ...(2)

Add equations (1) and (2) we get :

3d-e+d+e=7+5

4d = 12

d = 3

Put the value of d in equation (2).

3+e=5

e = 2

So, the value of d = 3 and e = 2. Solution of the given equations are (3,2).

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<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-22x%3D10%5C%5C" id="TexFormula1" title="x^{2} -22x=10\\" alt="x^{2} -22x=10\\"
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Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes

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