Target Mathematics
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Course

  • Add Math 0606
  • FPM 4PM1

Add Math 0606 topics

  • 1. Functions55
  • 2. Simultaneous equations and quadratics34
  • 2. Quadratic functions35
  • 3. Factors and polynomials61
  • 4. Equations, inequalities and graphs127
  • 5. Logarithmic and exponential functions86
  • 6. Straight-line graphs107
  • 7. Coordinate geometry of the circle6
  • 8. Circular measure68
  • 9. Trigonometry180
  • 10. Permutations and combinations55
  • 11. Series99
  • 12. Calculus — Differentiation 185
  • 13. Vectors51
  • 14. Calculus — Differentiation 261
  • 15. Calculus — Integration92
  • 16. Kinematics42
  • Indices and surds39

Study tools

  • Add Math 0606 overview
  • Formula summary
Additional Mathematics 0606 / Simultaneous equations and quadratics / 2.1

2.1: Simultaneous equations with powers of 10

0606/21/M/J/20 — Question 7 · 4 marks

· ·
(a)
Solve the simultaneous equations
10x+2y=510^{x + 2y} = 510x+2y=5103x+4y=5010^{3x + 4y} = 50103x+4y=50
giving xxx and yyy in exact simplified form.
[4]
← 2.13: Index equations in xxx and yyy1.2: Exponential equations with bases 7 and 5 →
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