Solve the following system of equations.
${\begin{cases} y = x^{2} - 8 x + 2 \\ y = - 2 x + 18 \end{cases}$

If there is more than one solution, use the "or" button.
$(x, y) = 1 . ◻$

Answer

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Answer

$T h e s o l u t i o n s t o t h e s y s t e m o f e q u a t i o n s a r e (x, y) = (- 2, 22) o r (x, y) = (8, 2)$

Steps

Step 1 ：The system of equations is a combination of a quadratic equation and a linear equation.

Step 2 ：To solve this system, we can set the two equations equal to each other and solve for x.

Step 3 ：Then, we can substitute the x values into one of the equations to find the corresponding y values.

Step 4 ：The solutions to the system of equations are $(x, y) = (- 2, 22)$ or $(x, y) = (8, 2)$ .

Step 5 ： $T h e s o l u t i o n s t o t h e s y s t e m o f e q u a t i o n s a r e (x, y) = (- 2, 22) o r (x, y) = (8, 2)$