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A=5-2b 5a+2b=1 solve the simultaneous equation​

User Lufc
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Answer:

Therefore, the solution to the system of equations is (a, b) = (-1, 3).

Explanation:

We can solve this system of equations by using substitution. We can use the first equation to solve for a in terms of b:

a = 5 - 2b

Now we can substitute this expression for a into the second equation:

5a + 2b = 1

5(5 - 2b) + 2b = 1

Simplifying, we get:

25 - 10b + 2b = 1

-8b = -24

Dividing both sides by -8, we get:

b = 3

Now we can substitute this value of b into either equation to solve for a. Using the first equation, we get:

a = 5 - 2(3)

a = -1

Therefore, the solution to the system of equations is (a, b) = (-1, 3).

User Shereese
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8.4k points
3 votes

Answer:

Therefore, the solution to the system of equations is (a, b) = (-1, 3).

Explanation:

We can solve this system of equations by using substitution. We can use the first equation to solve for a in terms of b:

a = 5 - 2b

Now we can substitute this expression for a into the second equation:

5a + 2b = 1

5(5 - 2b) + 2b = 1

Simplifying, we get:

25 - 10b + 2b = 1

-8b = -24

Dividing both sides by -8, we get:

b = 3

Now we can substitute this value of b into either equation to solve for a. Using the first equation, we get:

a = 5 - 2(3)

a = -1

Therefore, the solution to the system of equations is (a, b) = (-1, 3).

User Kurt Harriger
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7.0k points