What is the solution to the system of equations y x 10 2x y 4?.

A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

Differentiate between substitution and elimination method.

The major difference between the substitution and elimination method is that the substitution method is the process of replacing the variable with a value, whereas the elimination method is the process of removing the variable from the system of linear equations.

The system of equations are :

y = x - 10 and

2x + y = 4

On solving two equations by using substitution method ,we get

By substituting the value of y in another equation ,we obtain the equation in terms of one variable :

Now, according to the question

⇒ 2x + (x - 10) = 4

⇒ (2x + x) = (4 + 10)

⇒ 3x = 14

⇒ x = 14/3

Further for y ,we substitute obtained value of x in the equation

y = x - 10

Now,

[tex]y = \frac{14}{3}-10[/tex]

[tex]=\frac{(14-30)}{3}[/tex]

[tex]= (\frac{-16}{3})[/tex]

[tex]= - (\frac{16}{3})[/tex]

Hence ,the solution is (x,y) : [tex](\frac{14}{3},-\frac{16}{3})[/tex]

Learn more about Linear Equation by: brainly.com/question/2030026

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