x+2y=-4. 3x-5y=-1. substitution method
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Given: x + 2y = -4
3x - 5y = -1
To Find: The value of x and y using substitution method.
Solution:
Let x + 2y = -4 be Equation 1.
Let 3x - 5y = -1 be Equation 2.
∴ x + 2y = -4
⇒ x = -4 -2y (Let this be Equation 3)
Substituting the value of x in equation 2,
3 (-4 - 2y) - 5y = -1
⇒ -12 - 6y - 5y = -1
⇒ -6y - 5y = -1 + 12
⇒ -11y = 11
⇒ -y = 1
⇒ y = -1
Substituting the value of y in Equation 3,
x = -4 - 2(-1)
= -4 + 2
= -2
Answer: x = -2, y = -1
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