Respuesta :

[tex]\text{x = 7 and y = -1}[/tex]

Here, we want to solve the system of equations by substitution

From the first equation, we can have an equation in terms of x

We have this as;

[tex]x\text{ = -7y}[/tex]

Now, proceed to substitute this into the second equation

We have this as;

[tex]\begin{gathered} 2(-7y)\text{ - 8y = 22} \\ -14y-8y\text{ =22} \\ -22y\text{ = 22} \\ y\text{ = }\frac{22}{-22}\text{ = -1} \end{gathered}[/tex]

To get the value of x, what we have to do is to substitute the value of y in the equation we had for x

We have this as;

[tex]\begin{gathered} x\text{ = -7y} \\ x\text{ = -7(-1)} \\ x\text{ =7} \end{gathered}[/tex]

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