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Determine whether the ordered pair (10, 4) is solution to the equation 3x - 5y = 10

O Yes, (10, 4) is a solution.
O No, (10, 4) is not a solution.

2 Answers

4 votes

Answer: Yes, (10,4) is a solution

Step-by-step explanation: Took the test

User Stonyau
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3 votes

Given :

The ordered pair (10, 4) is solution to the equation 3x - 5y = 10.

To Find :

Which one is the solution and which is not.

Solution :

Two pairs are (10,4) and (4,10) :

Putting ( 10,4 ) in given equation, we get :

LHS = 3( 10 ) - 5( 4 ) = 30 - 20 = 10 = RHS

So, ( 10,4 ) is the solution of the equation.

Now, putting, ( 4, 10 ) in given equation, we get :

LHS = 3( 4 ) - 5( 10 ) = 12 - 50 = -38 ≠ RHS

Therefore, (10,4) is the solution and (4,10 ) is not the solution.

Hence, this is the required solution.

User Hessius
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5.9k points