## anonymous 5 years ago If 3x + 4y=7 and 2x-3y=67 then which of the following is the value of xy?

1. anonymous

If xy is the product of x and y then, then multiply the x and y solution of the simultaneous equations in the problem statement. x y = 17*-11 = -187

2. anonymous

HOW DID YOU GET 17?=)

3. anonymous

The solution for x and y in solving the equations$\{3x+4y\text{=}7, 2x-3y\text{=}67\}$is 17 and -11 respectively. If the x and y values are plugged back into the equations$\{3x+4y\text{=}7, 2x-3y\text{=}67\}\text{/.}\{\{x\to 17,y\to -11\}\}$The Mathematica result is$\{\{\text{True},\text{True}\}\}$meaning that the LHS is equal to the RHs for each equation respectively.