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Answer: x=−3 and y=−7
Step-by-step explanation: 2x−3y=15 −2x+y=−1
−2x+y+2x=−1+2x (Add 2x to both sides)
y=2x−1
(Substitute 2x−1 for y in 2x−3y=15):
2x−3y=15
2x−3(2x−1)=15
−4x+3=15 (Simplify both sides of the equation)
−4x+3+−3=15+−3 (Add -3 to both sides)
−4x=12
−4x /−4
= 12 /−4 (Divide both sides by -4)
x=−3
(Substitute−3 for x in y 2x−1):
y=2x−1
y=(2)(−3)−1
y=−7 (Simplify both sides of the equation)
x=−3 and y=−7