Use any method to find the point of intersection of $$ f(x)=3 x-5 $$ and $$ g(x)=-4 x+9 \cdot 1 $$-46 HW eTool

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Solve the equation $$ 3x-5=-4x+9 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$3x-5=-4x+9$$
- step1: Move the expression to the left side:
  $$3x+4x=9+5$$
- step2: Add and subtract:
  $$7x=9+5$$
- step3: Add and subtract:
  $$7x=14$$
- step4: Divide both sides:
  $$\frac{7x}{7}=\frac{14}{7}$$
- step5: Divide the numbers:
  $$x=2$$
The point of intersection of the functions $$ f(x)=3x-5 $$ and $$ g(x)=-4x+9 $$ is at $$ x=2 $$.

To find the corresponding $$ y $$ value, we can substitute $$ x=2 $$ into either function. Let's use $$ f(x) $$:

$$ f(2) = 3(2) - 5 = 6 - 5 = 1 $$

Therefore, the point of intersection is $$ (2, 1) $$.
The point of intersection is $$ (2, 1) $$.

Use any method to find the point of intersection of and -46 HW eTool

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