what is the y - value in the solution to this system of linear equations?\n4x + 5y = - 12\n-2x + 3y =…

what is the y - value in the solution to this system of linear equations?\n4x + 5y = - 12\n-2x + 3y = - 16\n-4\n-2\n2\n5

what is the y - value in the solution to this system of linear equations?\n4x + 5y = - 12\n-2x + 3y = - 16\n-4\n-2\n2\n5

Answer

Explanation:

Step1: Eliminate x

Multiply the second - equation $-2x + 3y=-16$ by 2 to get $-4x+6y = - 32$. Then add it to the first equation $4x + 5y=-12$. $(4x + 5y)+(-4x + 6y)=-12+( - 32)$ $4x+5y - 4x + 6y=-12-32$ $11y=-44$

Step2: Solve for y

Divide both sides of the equation $11y=-44$ by 11. $y=\frac{-44}{11}=-4$

Answer:

A. -4