Literacy Research Memory Skill Stretch Simultaneous Equations Define and learn the following words. Simultaneous Equations Variable Coefficient You need one of the coefficients in front of the same variable in each equation to be the same. 3𝑥+2𝑦=22 5𝑥 −2𝑦=10 Where are simultaneous equations used outside of mathematics lessons? Skill Stretch Solve these pairs of simultaneous equations for 𝑥 and 𝑦. Question 2 5𝑥−𝑦=15 𝑥+𝑦=−3 Question 3 2𝑥−𝑦=1 2𝑥+2𝑦=10 Question 1 12𝑥+20𝑦=28 12𝑥+9𝑦=6 1) I am thinking of two numbers. If I multiply the first number by 4 and add the second number the answer is 32. If I multiply the first number by 2 and add the second number the answer is 23. Work out the two numbers. 2) Mr and Mrs Jones go to the cinema with their 3 children. In total they pay £34.95 for 2 adult tickets and 3 children’s tickets. Mr and Mrs Smith go to the cinema with their 5 children. They pay £44.45 for 2 adult tickets and 5 children’s tickets. How much is it for 1 adult’s ticket? How much is it for 1 children’s ticket? Question 4 10𝑥+15𝑦=40 10𝑥−4𝑦=4 Question 5 2x + y =−7 y−3𝑥=18 Question 6 2x – 3y = -1 5x – 3y = -16