Respuesta :

Given:

Given the system of equations:

[tex]\begin{gathered} y=4x \\ 2x+3y=-28 \end{gathered}[/tex]

Required: Values of x and y

Explanation:

Substitute 4x for y into the equation 2x + 3y = -28.

[tex]\begin{gathered} 2x+3\cdot4x=-28 \\ 14x=-28 \\ x=-2 \end{gathered}[/tex]

Plug the obtained value of y into y = 4x.

[tex]\begin{gathered} y=4(-2) \\ =-8 \end{gathered}[/tex]

Solution is (x, y) = (-2, -8).

Final Answer: Solution is (-2, -8).