What is the solution of the system of equations? x + 2y = 7 and x - 2y = -1

Solution:

It is given that,

x + 2y = 7 and x - 2y = - 1

Let us assume,

x + 2y = 7 … [equation 1]

Also assume,

x - 2y = -1 … [equation 2]

Now, we have to add equation 1 and equation 2,

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

x + 2y + x - 2y = 6

By simplification we get,

2x = 6

x = 6/2

x = 3

Substitute the value of x in equation 2 we get,

x - 2y = - 1

3 - 2y = - 1

By transposing,

3 + 1 = 2y

4 = 2y

y = 4/2

y = 2

Therefore, the solution to the system of equations is x = 3, y = 2.

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What is the solution of the system of equations? x + 2y = 7 and x - 2y = -1

Summary:

The solution of the system of equations x + 2y = 7 and x - 2y = -1 is x = 3, y = 2.