Solve for 2x+y=7 4x-3y=-1 USING SUBSISTUTION …

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Sia ? 6 years, 6 months ago
The given system of equations is
2x + y = 7 ... (i)
4x - 3y = -1. ...(ii)
From (i), we get
2x + y = 7
⇒ y = (7 - 2x).
Substituting y = (7 - 2x) in (ii), we get
4x - 3y = -1
⇒ 4x - 3 (7 - 2x) = - 1
⇒ 4x - 21+ 6x = -1
⇒ 10x - 21 = -1
⇒ 10x = - 1 + 21
⇒ 10x = 20
⇒ x = 20/10
⇒ x = 2.
Substituting x = 2 in y = (7 - 2x), we get
y = (7 - 2x)
⇒ y = 7 - 2(2)
⇒ y = 7 - 4
⇒ y = 3.
Hence, the solution is x = 2, y = 3.
2Thank You