What is the solution of the system of equations? y = -4x + 10 and y = -2x - 6

Solution:

The given linear equations are

y = -4x + 10

y = -2x - 6

Let us assume, y = -4x + 10 … [equation 1]

Also assume, y = -2x - 6 … [equation 2]

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

y = -4x + 10

-2x - 6 = -4x + 10

By transposing we get,

4x - 2x = 10 + 6

2x = 16

x = 16/2

x = 8

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

y = -2(8) - 6

y = - 16 - 6

y = - 22

Therefore, the solution of the system of equations is x = 8, y = - 22.

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What is the solution of the system of equations? y = -4x + 10 and y = -2x – 6

Summary:

The solution of the system of equations y = -4x + 10 and y = -2x - 6 is x = 8, y = - 22.