SOLUTION: Tell wether the ordered pair is a solution of the linear system. (-2,15); y = -3x + 9 y = 5x + 25 Any help with this equation would be <b>Greatly</b> appreciated.

Algebra ->  Equations -> SOLUTION: Tell wether the ordered pair is a solution of the linear system. (-2,15); y = -3x + 9 y = 5x + 25 Any help with this equation would be <b>Greatly</b> appreciated.      Log On


   

Question 127999: Tell wether the ordered pair is a solution of the linear system.
(-2,15);
y = -3x + 9
y = 5x + 25
Any help with this equation would be Greatly appreciated.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
An ordered pair is a value of x paired with a value for y. An ordered pair is a member of the solution set of an equation if and only if the replacement of x and y in the equations by the values given in the ordered pair make the equation a true statement. An ordered pair is a member of the solution set of a system of two equations in two variables if and only if the values for x and y make both of the equations true statements.

(-2,15) is the given ordered pair. red%28-2%29 is the x-coordinate value, and green%2815%29 is the y-coordinate value. We know that because they are always in that order, hence the term 'ordered pair.'

y+=+-3x+%2B+9: Replace x and y with the given coordinate values:
cartoon%28green%28y%29=+-3%2Ared%28x%29+%2B+9%2Cgreen%2815%29=-3%2Ared%28%28-2%29%29%2B9%29

Is 15=-3%28-2%29%2B9 a true statement?

y+=+5x+%2B+25: Replace x and y with the given coordinate values:
cartoon%28green%28y%29+=+5%2Ared%28x%29+%2B+25%2Cgreen%2815%29=5%2Ared%28%28-2%29%29%2B25%29

Is 15=5%28-2%29%2B25 a true statement?

If the answer to both questions is YES, then the given ordered pair is a member of the solution set.

If the answer to either or both questions is NO, then the given ordered pair is NOT a member of the solution set.

I'll leave it to you to do the arithmetic and decide.