3A + 4B =32 6A-2B=14 work out the values of A and B
First we need to get either an equal number of As, an opposite number of As. An equal number of Bs or an opposite number of Bs. 6A-2B= 14 (Multiply by 2) 12A-4B =28 and 3A +4B =32 add together15A=60 (divide by 15) A=4Then substitute A=4 into the original equation3(4) + 4B = 3212 + 4B = 324B=20 (divide by 4)B=5 Then substitue these values into the other equation to see if they work6(4) -2(5) =1424-10 = 1414=14 so does make sense and is correct. A=4 B=5
OR
Related Maths KS3 answers
All answers ▸Solve the following algebraic equation: x^2 + 6x + 9 = 0
Solve for x when x2+16x+28=0
The formula for the volume of a cone is V=1/3πR^2H. If R=6 and H=5, work out its volume in terms of π.
A linear sequence starts a + 2b, a + 6b, a + 10b, …….. …….. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b.