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

1 Answer

4 votes

Answer:

x= 4

y= 8

Step-by-step 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

User Nambrot
by
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