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Solve the following simultaneous equations: x + y = 4; 2x – y = 2 - Algebra

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Question

Solve the following simultaneous equations:

x + y = 4; 2x – y = 2

Sum

Solution

Adding the equations,

x + y = 4
2x – y = 2
3x = 6

x = `6/3`

x = 2

Now, substitute x in x + y = 4,

2 + y = 4

y = 4 – 2

y = 2

Therefore, x = 2 and y = 2

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