2x+3y=6 5x+2y=4 Which of the following equations could be the result of multiplication and addition to eliminate a variable in the system of equations? 19y=22 A 19x=24 11 y=22

To eliminate a variable in the system of equations, we can multiply one equation by a constant and then add it to the other equation. Let's multiply the first equation by 5 and the second equation by 2:<br /><br />$5(2x+3y)=5(6)$<br />$10x+15y=30$<br /><br />$2(5x+2y)=2(4)$<br />$10x+4y=8$<br /><br />Now, we can add the two equations to eliminate the variable x:<br /><br />$(10x+15y)+(10x+4y)=30+8$<br />$20x+19y=38$<br /><br />Therefore, the equation that could be the result of multiplication and addition to eliminate a variable in the system of equations is $19y=22$.