Part a: what is the solution to the pair of equations represented by p(x) and f(x)? part b: write any two solutions for f(x). part c: what is the solution to the equation p(x) = g(x)? justify your answer.

Part A. The solution is represented by the point at which the graphs intersect: (-2, -3). The x-value that makes p(x) = f(x) is x = -2.

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Part B. The point found in Part A is one solution to f(x). The graph shows the line has a slope of -2, so another point will be 1 to the left and 2 up: (-3, -1). So, two solutions are ...

... (-2, -3) and (-3, -1)

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Part C. The graphs of p(x) and g(x) intersect at the point (0, 2). This means

... p(0) = g(0) = 2

So, x = 0 is the solution to the equation p(x) = g(x).

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: