Solve the following simultaneous equations: equation A 2y+3x=14 equation B y+2x=8
Step 1: make one term in both equations the sameHere we will multiply equation B by 2 so that there is a 2y in both equationsEquation C = 2 x equation B = 2y + 4x = 16
Step 2: Combine the equationsIf we take away equation A from equation C, we are left with 0y + x =2So x=2
Step 3: substitute known value back inIf x=2, equation A is 2y + 3(2)=14So 2y = 14-6 = 8So y=4
Step 4: CheckTo check we substitute the values back into equation B4 + 2(2) = 8 which is correct so we know our answers are correct!
RH
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E = {Students in Year 12} G = {Students who study German} F = {Students who study French} M = {Students who study Maths} (i) G ∩ M = Ø Use this information to write a statement about the students who study German in Year 12