Solve the following linear system of equations using substitution.

y = 3x - 5

y = 2x - 6

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x = - 1

y = - 8

Step-by-step explanation:

Given

y = 3x - 5

y = 2x - 6

By substitution. Substituting 2x - 6 for y in the first equation, we have

2x - 6 = 3x - 5

Combine like terms

5 - 6 = 3x - 2x

-1 = x

x = - 1

Substitute - 1 for x in any of the equations to get y.

Using equation 1,

We have

y = 3 (-1) - 5

y = - 3 - 5

y = - 8

Therefore y = - 8 and

x = - 1