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

Solution:

An equation of degree 1 is called a linear equation. The standard form of linear equations in two variables is ax + by = c

Let's solve the system of linear equations in two variables.

To solve the system of linear equations, we will substitute the value of y = 6 + x  in y + x = − 10  and solve for x.

⇒ (6 + x) + x = -10

⇒ 2x + 6 = -10

⇒ 2x = -16

⇒ x = -8

By substituting the value of x = -8 in y - x = 6, we get

⇒  y - x = 6

⇒ y - (-8) = 6

⇒ y = 6 - 8

⇒ y = -2

We can use Cuemath's online system of equations calculator to solve the equations.

Thus, the solution for the system of linear equations is x = - 8, y = -2.

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

Summary:

The solution for the given system of linear equations is x = -8, y = -2.