Solve for the value of $$ y $$ in the matrix below: $$ \left[\begin{array}{c}4 x \ 5\end{array} ight]=\left[\begin{array}{c}15+x \ 2 y\end{array} ight] $$ $$ y=3 $$ $$ y=5 $$ $$ y=2.5 $$ $$ y=4.5 $$

Question

Solve for the value of $$ y $$ in the matrix below: $$ \left[\begin{array}{c}4 x \ 5\end{array}ight]=\left[\begin{array}{c}15+x \ 2 y\end{array}ight] $$ $$ y=3 $$ $$ y=5 $$ $$ y=2.5 $$ $$ y=4.5 $$

UpStudy AI · Accepted Answer

We begin by setting the two matrices equal:

$$
\begin{bmatrix} 4x \ 5 \end{bmatrix} = \begin{bmatrix} 15+x \ 2y \end{bmatrix}
$$

This implies that the corresponding entries are equal, so we have:

$$
4x = 15+x
$$

and

$$
5 = 2y
$$

**Step 1: Solve for $$ x $$**

Subtract $$ x $$ from both sides of the first equation:

$$
4x - x = 15
$$

$$
3x = 15
$$

Divide both sides by $$ 3 $$:

$$
x = 5
$$

**Step 2: Solve for $$ y $$**

Using the second equation:

$$
5 = 2y
$$

Divide both sides by $$ 2 $$:

$$
y = \frac{5}{2} = 2.5
$$

Thus, the correct value of $$ y $$ is $$ 2.5 $$.
$$ y = 2.5 $$

Solve for the value of \( y \) in the matrix below: \( \left[\begin{array}{c}4 x \\ 5\end{array}\right]=\left[\begin{array}{c}15+x \\ 2 y\end{array}\right] \) \( y=3 \) \( y=5 \) \( y=2.5 \) \( y=4.5 \)

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