SOLUTION: Determine whether the given ordered pair is a solution of the system of equations. 1.(3,2);2x+3y=12 x-4y= -5 2.(1,5);5x-2y=-5 3x-7y=-32 3.(3,2);3t-2s=0

Question 27272: Determine whether the given ordered pair is a solution of the system of equations.
1.(3,2);2x+3y=12
x-4y= -5
2.(1,5);5x-2y=-5
3x-7y=-32
3.(3,2);3t-2s=0
t+2s=15

Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
Determine whether the given ordered pair is a solution of the system of equations.
1 2x+3y=12 ----(1)
x-4y= -5 ----(2)
To check if the ordered pair (3,2) is a solution of the given system
put x = 3 and y = 2 in (1) as well as in (2) and check if the equations satisfy these values that is check if LHS of (1) = RHS of (1) for these values and similarly check if LHS of (2) = RHS of (2) for these values
x= 3 and y = 2 in (1)
LHS = 2x + 3y
= 2 X 3 + 3 X 2 = 6 + 6 = 12 = RHS
x= 3 and y = 2 in (2)
LHS = x - 4y
= 3 - 4 X 2 = 3 - 8 = -5 = RHS
As the two given equations hold for x = 3 and y = 2 we conclude that the ordered pair (3,2) is a solution of the given system of equations.
2.(1,5);5x-2y=-5
3x-7y=-32
5x-2y=-5 ----(1)
3x-7y=-32 ----(2)
x = 1, y = 5 in (1) implies
LHS = 5x - 2y = 5 X 1 - 2 X 5 = 5 - 10 = -5 RHS
x = 1, y = 5 in (2) implies
LHS = 3x - 7y = 3 X 1 - 7 X 5 = 3 - 35 = -32 = RHS
As the two given equations hold for x = 1 and y = 5 we conclude that the ordered pair (1,5) is a solution of the given system of equations.

3.(3,2);3t-2s=0
t+2s=15
Put t = 3 and s = 2 in both the equations and try as above
3t - 2s = 0 ----(1)
t + 2s = 15 ----(2)
t = 3, s = 2 in (1) implies
LHS = 3t - 2s = 3 X 3 - 2 X 2 = 9 - 4 = 5 not equal to RHS
This implies the ordered pair (3,2) is NOT a solution of the given system of equations.
Note: You will have to verify for the second equation only when the values hold in the first equation

RELATED QUESTIONS
determine whether the given ordered pair is a solution of the system of equations. #1 (answered by longjonsilver)

determine whether the given ordered pair is a solution of the system of equations.... (answered by Alan3354)

For each ordered pair, determine whether it is a solution to the system of equations. {... (answered by josgarithmetic,Alan3354)

rewrite the standard form of the equation in slope-intercept form?? 1. 2x+5y=2 2.... (answered by checkley77)

determine whether the given ordered pair is a solution to the system. (-2,-3) 3x + y... (answered by rfer,checkley77,stanbon)

Tell whether the ordered pair (5, �2) is a solution of the system x + y = 3 -2x + 2y... (answered by Alan3354)

Please help. Determine whether the given ordered list of numbers is a solution of the... (answered by JulietG)

determine whether the given ordered pair is a solution of the system. #1 (6,-1);... (answered by xcentaur)

Determine whether the given ordered pair is a solution of the system. (5, -3) 4x + y... (answered by solver91311)