Solve the following system of equations. express your answer as an ordered pair in the format (a, b), with no spaces between the numbers or symbols. first equation is 3x+4y=17 and second equation is -4x-3y=-18

(3, 2)

Step-by-step explanation:

The system of equations can be solved using elimination to eliminate one variable and solve for the other.  Given the two equations:

3x + 4y = 17 and -4x - 3y = -18, we need to have opposite coefficients to eliminate a variable.  Multiplying the first equation by '3' and the second by '4':

3(3x + 4y = 17) = 9x + 12y = 51

4(-4x - 3y = -18) = -16x - 12y = -72

                                      -7x = -21

                                        x = 3

Solve for y:  3(3) + 4y = 17 or 9 + 4y = 17

y = 2

(3, 2)

x = -5

step-by-step explanation: