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Henrique began to solve a system of linear equations using the linear combination method. His work is shown below:
3(4x – 7y = 28) → 12x – 21y = 84
–2(6x – 5y = 31) → –12x + 10y = –62 
      12x – 21y = 84
+   –12x + 10y = –62
              –11y = 22
y = –2
Complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equations to find the value of x.
What is the solution to the system?

Respuesta :

alexia926aeh

Answer:

(3.5, -2)

Step-by-step explanation:

Just got it right on edge 2020

akposevictor

The solution to the system of linear equations is: (3.5, -2).

Solution to the System of Linear Equations

  • To find the solution to the system of linear equations, find one of the variables, using the combination method, then substitute the value of one of the variables into one of the original equation to find the other variable.

Thus, having solve for y as -2, substitute y = -2 into 12x – 21y = 84.

12x – 21(-2) = 84

12x + 42 = 84

12x = 84 - 42

12x = 42

x = 3.5.

Therefore, the solution to the system of linear equations is: (3.5, -2).

Learn more about the system of linear equations on:

https://brainly.com/question/11867840

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