Solution: From $ a - b = 1 $, express $ a = b + 1 $. Substitute into the first equation: $ 2(b + 1) + 3b = 14 \Rightarrow 2b + 2 + 3b = 14 \Rightarrow 5b = 12 \Rightarrow b = \frac125 $. Then $ a = \frac125 + 1 = \frac175 $. Compute $ 5a + 2b = 5\left(\frac175\right) + 2\left(\frac125\right) = 17 + \frac245 = \frac1095 $. The value is $ \boxed\dfrac1095 $.Question: A hydrologist is modeling the cross-section of a riverbed, approximated as an isosceles trapezoid with bases of 120 m and 180 m, and legs of 50 m each. What is the height of the trapezoid, in meters? - go-checkin.com