Question

question 41 points 1 consider the system of equations: 2x + 3y = 7 and x - y = 1. if we multiply the second equation by 2 and then add it to the first equation, what is the resulting equation? 4x + y = 7 4x + y = 9 4x - y = 9 4x + y = -9

Explanation:

Step1: Multiply second equation by 2

$2\times(x - y) = 2\times1$
$2x - 2y = 2$

Step2: Add to first equation

$(2x + 3y) + (2x - 2y) = 7 + 2$
$2x+2x + 3y-2y = 9$
$4x + y = 9$

Answer:

C. $4x + y = 9$