Respuesta :

The value of y is 7 for the given linear system.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You can solve a linear system by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

y=5x-3-> 5x-y=3  (1)

3x-y=-1 (2)

Multiplying equation 2 by -1, you can eliminate y.

5x-y=3  (1)

-3x+y=1 (2)

2x=4

x=2

If x=2 from equation 2, you have:

3*2-y=-1

6-y=-1

-y=-6-1

y=7

Read more about the solving systems equations by elimination here:

https://brainly.com/question/12691830

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