Respuesta :
The solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).
What is system of linear equations?
The set of two or more linear equations containing the same variables is known as a system of linear equations in mathematics. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.
Given that;
Y - x = 6
Y + x = -10
Let's equalize the two equations as they are both equal to y;
x + 6 = - x - 10
By further calculation
x + x = - 10 - 6
2x = - 16
Divide both sides by 2
x = -8
The value of x should be replaced in either equation;
y - x = 6
y - (-8) = 6
So we get
y + 8 = 6
y = 6 - 8
y = - 2
Therefore, the solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).
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