Which of the following (x,y) pairs is the solution to the system of equations –3x + y = –8 and x + 2y = 12 ?

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Answer:

The answer is (4,4)

Step-by-step explanation:

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The solution of the system of equations –3x + y = –8 and x + 2y = 12 will be (4,4).

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given,

–3x + y = –8 and x + 2y = 12

Multiplying by 2 to equation first

-6x + 2y = -16 and x + 2y = 12

Substracted equation second to first

7x = 28

x = 4

By substituting

y = 4

Hence "The solution of the system of equations –3x + y = –8 and x + 2y = 12 will be (4,4)".

For more about the equation

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