What is the solution of the system of equations? y = 3x + 7 and y = x - 9

Solution:

It is given that,

y = 3x + 7 and y = x - 9

Let us assume,

y = 3x + 7 … [equation 1]

Also assume,

y = x - 9 … [equation 2]

Consider equation 1 and substitute the value of equation 2 in equation 1,

y = 3x + 7

x - 9 = 3x + 7

By transposing we get,

3x - x = - 9 - 7

2x = -16

x = -16/2

x = -8

Now, substitute the value of x in equation 2 we get,

y = x - 9

y = - 8 - 9

y = - 17

Therefore, the solution of the system of equations is x = - 8, y = - 17.

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What is the solution of the system of equations? y = 3x + 7 and y = x – 9

Summary:

The solution of the system of equations y = 3x + 7 and y = x - 9 is x = - 8, y = - 17.