So we want to find x and y so that:
For this, we have to remember that both matrices have equal components.
So we could equal:
![\begin{gathered} x+3=4 \\ y=2x+2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hcvy1isbix3ow5ct2mx4f7uaqwx161y9h4.png)
We could solve the first equation:
![\begin{gathered} x+3=4 \\ x=4-3 \\ x=1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/gjuk1xk2nvqx0u8xnyl3sxwhjx2ysruerf.png)
And, as we know that x=1, we could replace this value in the expression:
![\begin{gathered} y=2x+2 \\ y=2\cdot1+2 \\ y=2+2 \\ y=4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/nxrdq96jjeu55ekthv31asvuncz0v0utyu.png)
And these are the values for x and y.