Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Select two options.y = x2 + 5x + 10y + 5x = x2 + 10 + 4x – 100 = x2 – 9x0 = x2 – 9x + 20One x-value of a solution to the system is 4.

Substitute y = 4x − 10 into y + 5x = x² + 10. This gives (4x − 10) + 5x = x² + 10, which rearranges to 0 = x² − 9x + 20, so choice D is a valid step. Factoring gives (x − 4)(x − 5) = 0, so x = 4 is one solution value, making choice E correct too.

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