Question

Solve the following simultaneous equation by substitution method 5x+y=35 & 3x-2y=14

Answer 1

5 x + y = 35 Subtact 5 x to both sides

5 x + y - 5 x = 35 - 5 x

y = 35 - 5 x


3 x - 2 y = 14

3 x - 2 ( 35 - 5 x ) = 14

3 x - 2 * 35 - 2 * ( - 5 x ) = 14

3 x - 70 + 10 x = 14

13 x - 70 = 14 Add 70 to bopth sides

13 x - 70 + 70 = 14 + 70

13 x = 84 Divide both sides by 13

13 x / 13 = 84 / 13

x = 84 / 13


y = 35 - 5 x

y = 35 - 5 * 84 / 13

y = 35 - 420 / 13

y = 35 * 13 / 13 - 420 /13

y = 455 / 13 - 420 / 13

y = 35 / 13


Solution:

x = 84 / 13 , y = 35 / 13

Answer 2

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