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The distance along a straight road is measured as shown in the diagram below. If the distance between towns A and C is 67 miles, find the
The distance along a straight road is measured as shown in the diagram below. If the distance between towns A and C is 67 miles, find thedistance between towns A and B. Homework Help
5x-2
2.x+6
Final answer:By solving the system of equations, it is determined that the distance between towns A and B is 43 miles.Explanation:Since the sum of the two distances, A to B (5x - 2 miles) and B to C (2x + 6 miles), equals the totaldistancebetween A and C (67 miles), we can write the equation as:5x - 2 + 2x + 6 = 67.Simplifying this equation, 7x + 4 = 67. We can then subtract 4 from both sides to get 7x = 63. Finally, dividing both sides by 7, we have x = 9.Applying this to thedistancefrom A to B, we get: 5x - 2 = 5*9 - 2 =43 miles. Thus, thedistancemeasuredbetweentowns A and B is 43 miles.Learn more about Linear Equations here:brainly.com/question/32634451#SPJ3...
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