8х - бу = -16. elimination
5х + y = 28

x= 4

y= 8

Explanation:

Elimination is a method to solve a system of equations by eliminate a variable. To eliminate a variable, you have to find the common multiple of the coefficient. Let's say we want to eliminate y and solve x first. The coefficient of y in the equations is 6 and 1, the least common multiple will be 6.  

5х + y = 28        x6

30х + 6*y = 168  

So we need to multiply the second equation by 6. The calculation will be:

8х - 6у = -16

30х + 6*y = 168      

  +

38x = 152

x= 4

We can substitute x value to the equation to solve y.

5х + y = 28  

5(4) + y = 28

y= 28-20

y= 8

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