Problem

Solve the following system of functions: f(x)=3x+2 and g(x)=2x−1.

Answer

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Answer

Finally, we substitute x=−3 into either of the original functions to solve for y. Let's use f(x)=3x+2: f(−3)=3(−3)+2=−7. So, the solution to the system of functions is (−3,−7).

Steps

Step 1 ：First, we set the two functions equal to each other to solve for x: 3x+2=2x−1.

Step 2 ：Next, we subtract 2x from both sides of the equation: x+2=−1.

Step 3 ：Then, we subtract 2 from both sides of the equation: x=−3.

Step 4 ：Finally, we substitute x=−3 into either of the original functions to solve for y. Let's use f(x)=3x+2: f(−3)=3(−3)+2=−7. So, the solution to the system of functions is (−3,−7).

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