# Solve the following System of Equations: −2x + y = 1, −4x + y = −1.

Equations form the basis of mathematics. There are many types of equations, which include quadratic, biquadratic, cubic, linear, and many others.

## Answer: The Solution to the given System of Equations −2x + y = 1, −4x + y = −1 is x = 1 and y = 3.

Lets' solve this step by step.

**Explanation:**

Given equations:

⇒ −2x + y = 1 ....................(1)

⇒ −4x + y = −1

⇒ y = 4x - 1 ................... (2)

Now, we substitute y = 4x - 1 in the first equation.

⇒ −2x + (4x - 1) = 1

⇒ −2x + 4x - 1 = 1

⇒ 2x - 1 = 1

⇒ 2x = 2

⇒ x = 1

Substitue x = 1 in the first equation.

⇒ −2(1) + y = 1

⇒ −2 + y = 1

⇒ y = 3