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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).