Which ordered pair (x, y) is a solution to the following system of equations?{5x+4y=-14{3x+6y=6

Answer: (-6, 4)Step-by-step explanation: You can use the Elimination method: - Multiply the the first equation by -3 and the second one by 5. - Add both equations. - Solve for y: [tex]\left \{ {{(-3)(5x+4y=-14(-3)} \atop {5(3x+6y)=6(5)}} \right.\\\\\left \{ {{-15x-12y=42} \atop {15x+30y=30}} \right.\\-------\\18y=72\\y=4[/tex] - Susbtittute y=4 into any of the original equations and solve for x: [tex]3x+6(4)=6\\3x=6-24\\3x=-18\\x=-6[/tex] Then the ordered pair is: (-6, 4)