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SAT® Subject Test in Math 1 & 2

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Moderate

Using Matrix Multiplication to Solve Equations

SATSTM-3XTJH8

Find real numbers $x$ and $y$, such that

$$ A=\begin{bmatrix} 1&2\\\ 3&5 \end{bmatrix} \quad \quad B=\begin{bmatrix} x\\\ y \end{bmatrix}$$

...and:

$$AB = \begin{bmatrix} 3\\\ 5 \end{bmatrix}$$

A

$x = -5$ and $y = 4$.

B

$x=0$ and $y = 1$.

C

$x =5$ and $y = -4$.

D

$x = 13$ and $y =34$.