What is the solution to this system of linear equations?
Y - x = 6, Y + x = -10

Solution:

y - x = 6 ----> y = x + 6

y + x = -10 -----> y = - x - 10

Given: linear equations in two variables

As both the equations are equal to y, let us equate them.

x + 6 = - x - 10

By further calculation

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

Substitute the value of x in either of the equations

y - x = 6

y - (-8) = 6

So we get

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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What is the solution to this system of linear equations?
Y - x = 6, Y + x = -10

Summary:

The solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).