Respuesta :

gmany

Answer:

B. (2, 1)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-3y=x-5&\text{subtract x from both sides}\\x+5y=7\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-x-3y=-5\\x+5y=7\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2y=2\qquad\text{divide both sides by 2}\\.\qquad\qquad y=1\\\\\text{Put the value of y to the second equation:}\\x+5(1)=7\\x+5=7\qquad\text{subtract 5 from both sides}\\x=2[/tex]

The solution of the system of equations is (2, 1).

What is the elimination method?

The elimination method is a process that uses elimination to reduce the simultaneous equations into one equation with a single variable.

The given system of equations  are;

[tex]\rm -3y=x-5\\\\x+5y=7[/tex]

From equation 1

[tex]\rm -3y=x-5\\\\x = -3y+5[/tex]

Substitute the value of x in the equation 2

[tex]\rm x+5y=7\\\\-3y+5+5y=7\\\\2y =7-5\\\\2y=2\\\\y=\dfrac{2}{2}\\\\y=1[/tex]

Substitute the value of y in the equation 1

[tex]\rm -3y=x-5\\\\-3(1)=x-5\\\\-3=x-5\\\\x=5-3\\\\x=2[/tex]

Hence, the solution of the system of equations is (2, 1).

Learn more about system of equation here;

https://brainly.com/question/11882575

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