Respuesta :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equations

[tex]\begin{gathered} y=3x+3 \\ -2x+4y=-18 \end{gathered}[/tex]

STEP 2: Solve the equation using substitution method

[tex]\begin{gathered} \mathrm{Substitute\:}y=3x+3 \\ \begin{bmatrix}-2x+4\left(3x+3\right)=-18\end{bmatrix} \\ \begin{bmatrix}10x+12=-18\end{bmatrix} \\ \\ 10x=-18-12=-30 \\ x=\frac{-30}{10}=-3 \end{gathered}[/tex]

STEP 3: solve for y

[tex]\begin{gathered} y=3x+3=3(-3)+3 \\ y=-9+3 \\ y=-6 \end{gathered}[/tex]

Hence, the values are given as:

x = -3

y = -6

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