Subjects algebra

Equate Equations

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1. The problem is to find how to set two equations equal to each other. 2. Suppose we have two equations: $y = f(x)$ and $y = g(x)$. 3. To put both equations equal, we set $f(x) = g(x)$. 4. This means we find the values of $x$ where the outputs of both functions are the same. 5. For example, if $f(x) = 2x + 3$ and $g(x) = x^2$, then setting them equal gives: $$2x + 3 = x^2$$ 6. Rearranging to solve for $x$: $$x^2 - 2x - 3 = 0$$ 7. Factor or use the quadratic formula to find $x$ values where the two equations are equal. 8. This process applies generally: set the expressions equal and solve for the variable(s).