Math  /  Algebra

QuestionQuiz Question 8 of 11 This quiz: 11 This question
Solve the following equation analytically. Check it analytically by direct substitution, and then support your solution graphically. 2x+23+x24=152\frac{2 x+2}{3}+\frac{x-2}{4}=\frac{15}{2}
The solution set of this equation is \square (Simplify your answer.)

Studdy Solution
Support the solution graphically by plotting the left side and right side of the original equation as functions of x x :
Plot y1=2x+23+x24 y_1 = \frac{2x + 2}{3} + \frac{x - 2}{4} and y2=152 y_2 = \frac{15}{2} .
The solution x=8 x = 8 is where the graphs of y1 y_1 and y2 y_2 intersect.
The solution set of this equation is:
8 \boxed{8}

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