Question

Rewrite the equation 7x⁴ = x - 2 as a system.

1) y = -(7x³)
2) y = -(x - 2)
3) y = (7x⁴)
4) y = -(x - 2)
5) y = (7x⁴)
6) y = x - 2

Answer 1

The equation 7x⁴ = x - 2 is rewritten as a system of equations by setting each side equal to y, which results in y = 7x⁴ and y = x - 2.

Step-by-step explanation:

To rewrite the equation 7x⁴ = x - 2 as a system of equations, we can set each side of the equation equal to y. This is because in a system of equations, we seek to find the values where both equations intersect, meaning they have the same y value at some point. The rewritten system would then be:

• y = 7x⁴
• y = x - 2

This system of equations consists of a quartic equation and a linear equation. We can find the solutions to this system by looking for x-values that satisfy both equations, which would then give us the corresponding y-values. This system can be solved using methods such as graphing, substitution, or elimination.