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Solve x 3y = 9 3x − 3y = −13 (−1, ten thirds) (1, negative ten thirds) (−1, 3 over 10) (1, negative 3 over 10).

Sagot :

The solution of the system of equation is x = -1 and y=10/3.

The correct option is A.

Given

The given system of equation is;

[tex]\rm x + 3y = 9\\\\3x - 3y = -13[/tex]

What is a system of equations?

A system of linear equations is a collection of two or more linear equations.

From equation 1

[tex]\rm x+3y=9\\\\x=9-3y[/tex]

Substitute the value of x in equation 2

[tex]\rm 3x-3y=-13\\\\3(9-3y)-3y=-13\\\\27-9y-3y=-13\\\\-12y=-13-27\\\\-12y=-40\\\\12y=40\\\\y = \dfrac{40}{12}\\\\y=\dfrac{10}{3}[/tex]

Substitute the value of y in equation 1

[tex]\rm x+3y=9\\\\ x + 3\dfrac{10}{3}=9\\\\x+10=9\\\\x=9-10\\\\x=-1[/tex]

Hence, the solution of the system of equation is x = -1 and y=10/3.

To know more about the system of equations click the link given below.

https://brainly.com/question/12895249