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(C) By comparing the corresponding elements of the two matrices,we get the following system of equations:$1) x + y = -7$$2) x - y = 0$$3) 7 + z = 5$Fr

Vedclass · Accepted Answer

$-25$

Vedclass · Answer

(C) By comparing the corresponding elements of the two matrices,we get the following system of equations:$1) x + y = -7$$2) x - y = 0$$3) 7 + z = 5$From equation $(2)$,we have $x = y$.Substituting $x = y$ into equation $(1)$,we get $x + x = -7$,which implies $2x = -7$,so $x = -3.5$ and $y = -3.5$.From equation $(3)$,we have $z = 5 - 7 = -2$.Now,we need to calculate the value of $2x + 4y + 2z$:$2x + 4y + 2z = 2(-3.5) + 4(-3.5) + 2(-2)$$= -7 - 14 - 4$$= -25$.Thus,the correct option is $C$.

If the matrix equation $\begin{bmatrix} x+y & -2 \\ 7+z & x-y \end{bmatrix} = \begin{bmatrix} -7 & -2 \\ 5 & 0 \end{bmatrix}$ holds,then find the value of $2x + 4y + 2z$.

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