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Determine whether the given ordered pair is a solution of the system. (2,-1) 5x+3y=7 6x-2y=15

User Antifriz
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Whether an ordered pair is a solution to a system of equations can be determined by substituting the x and y values of this pair into the given system of equations.

So, let us check for the ordered pair (2, -1).

For the first equation:

Substitute x = 2 and y = -1 into 5x+3y=7,

5*2 + 3*(-1) = 10 - 3 = 7

Hence, (2, -1) satisfies the first equation.

Now, let's check the second equation:

Substitute x = 2 and y = -1 into 6x-2y=15,

6*2 - 2*(-1) = 12 + 2 = 14

We see that (2, -1), does not satisfy the second equation since 14 is not equal to 15.

Therefore, the ordered pair (2, -1) is not a solution of the system {5x+3y=7, 6x-2y=15} because it doesn't satisfy both equations simultaneously.

User Hennadii Madan
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