Additional Mathematics 0606 / Simultaneous equations and quadratics / 3.63.6: Exponential simultaneous equations and a linear exponent equation0606/22/O/N/21 — Question 5 · 9 marksMark as done · Save for later · Show all solutions(a)Solve the following simultaneous equations.ex+ey=5\mathrm{e}^{x} + \mathrm{e}^{y} = 5ex+ey=52ex−3ey=82\mathrm{e}^{x} - 3\mathrm{e}^{y} = 82ex−3ey=8[5]▸ Answer(b)Solve the equation e2t−1=5e5t−3\mathrm{e}^{2t - 1} = 5\mathrm{e}^{5t - 3}e2t−1=5e5t−3.[4]▸ Answer▸ Official mark scheme← 3.5: Stationary points on a logarithmic–quadratic curve3.7: Modulus graphs and inequality from intersections →
