solve the following simultaneous equations 2x 3y 7 7y y 13, Simultaneous Equations, Remainder and Factor Theorems, Pure Mathematics (O-Level)

Simultaneous Equations, Remainder and Factor Theorems

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Question:Solve the following simultaneous equations

2x + 3y = 7
7y - y = 13

Answer Let

2x + 3y = 7 ------- (1)
7y - y = 13 ---------(2)

Multiply Equation (2) x 3 and then sum up equation (1) with the equation (2)

We have,

  2x+ 3y = 7
21x - 3y = 30
----------------
23x         =46

`:.` x=46/23=2

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Solve the following simultaneous equations 2x + 3y = 7 7y - y = 13

Question:Solve the following simultaneous equations 2x + 3y = 7 7y - y = 13

Answer Let 2x + 3y = 7 ------- (1) 7y - y = 13 ---------(2) Multiply Equation (2) x 3 and then sum up equation (1) with the equation (2) We have, 2x+ 3y = 7 21x - 3y = 30 ---------------- 23x =46 `:.` x=46/23=2