152k views
3 votes
Determine whether the given ordered pair is a solution of the system. (2,-1) 5x+3y=7 6x-2y=15

User Antifriz
by
9.1k points

1 Answer

7 votes

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
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories