NCETM_Mathematics_Department_Workshop_Simultaneous_Equations_Resource_Sheet_HT1.SIM.6

Mathematics Department Workshops Topic: Simultaneous Equations Resource Sheet HT1.SIM.6 Make the x terms equal Make the y so co-efficients equal so 6x + 4y = 58 3x + 2y = 29 6x – 3y = 9 4x - 2y = 6 so 7y = 49 so 7x = 35 and y = 7 and x = 5 now I can find x now I can find y How do I solve 3x + 2y = 29 and 2x – y = 3? If I write 2x – y = 3 as y = Make the y 2x – 3, I can substitute it co-efficients equal so into the other equation 1.5x + y = 14.5 3x + 2(2x - 3) = 29 2x – y = 3 3x + 4x – 6 = 29 7x – 6 = 29 so 3.5x = 17.5 7x = 35 and x = 5 x=5 www.ncetm.org.uk A Department for Children, Schools and Families initiative to enhance professional development across mathematics teaching