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Answer:
x = 0
y = -3
Step-by-step explanation:
6x - 5y = 15
x = y + 3
We can solve the above system of equation by either substitution method or elimination method or both method.
We are going to solve by substitution method
6x - 5y = 15 -----------------------------------------------(1)
x = y + 3 ---------------------------------------------------(2)
Substitute equation (2) in equation (1)
6(y+3) - 5y = 15
6y + 18 - 5y = 15
We can rearrange this equation
6y - 5y + 18 = 15
y + 18 = 15
subtract 18 from both-side of the equation
y + 18 - 18 = 15 -18
y = -3
Substitute for y = -3 in equation (2)
x = y+ 3
x = -3 + 3
x = 0
x = 0 and y = -3