Determine the equivalent system for the given system of equations:2x + 3y = 74x – 2y = 4A.2x + 3y = 78x – 4y = 4B.2x + 3y = 76x + y = 11C.-2x – 3y = 74x - 2y = 4D.2x + 3y = 76x + y = 4
Accepted Solution
A:
Answer:[tex]\large\boxed{B.\ \left\{\begin{array}{ccc}2x+3y=7\\6x+y=11\end{array}\right}[/tex]Step-by-step explanation:[tex]\left\{\begin{array}{ccc}2x+3y=7&(1)\\4x-2y=4&(2)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+3y=7\\4x-2y=4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad6x+y=11\qquad(3)\\\\\text{Make the system of equation with (1) and (3):}\\\\\left\{\begin{array}{ccc}2x+3y=7\\6x+y=11\end{array}\right[/tex]