Henrique began to solve a system of linear equations using the linear combination method. His work is shown below 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?

Complete question is;

Henrique began to solve a system of linear equations using the linear combination method. his work is shown below

1. 3 (4x-7y=28) -> 12x-21y=84

-2 (6x-5y=31) -> -12x 10y =62

2. 12x - 21y = 84

-12x + 10y = -62

-11y = 22

3. y= -2

complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equation s to find the value of x. what is the solution to the system

x = 3.5

Step-by-step explanation:

We are given;

1. 3(4x - 7y = 28) -> 12x - 21y = 84

-2(6x - 5y = 31) -> -12x + 10y = 62

2. 12x - 21y = 84

-12x + 10y = -62

-11y = 22

3. y= -2

Since y = - 2, let's put -2 for y into the equation; 12x - 21y = 84

This gives;

12x - 21(-2) = 84

This gives;

12x + 42 = 84

12x = 84 - 42

12x = 42

x = 42/12

x = 3.5

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step-by-step explanation:

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