Solve for x and y, using substitution method.
2x + y = 7
4x - 3y + 1 = 0
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Given :
- 2x + y = 7
- 4x - 3y + 1 = 0
To Find :
- Value of x and y = ?
Solution :
The given system of equations is :
- 2x + y = 7 - (i)
- 4x - 3y = - 1 - (ii)
From equation (i), we get
⟹ y = 7 - 2x
Substituting, y = 7 - 2x in equation (ii), we get :
⟹ 4x - 3(7 - 2x) = - 1
⟹ 4x - 21 + 6x = - 1
⟹ 10x = - 1 + 21
⟹ 10x = 20
⟹ x = 20/10
⟹ x = 2
Substituting x = 2 in equation (i), we get :
⟹ 2(2) + y = 7
⟹ 4 + y = 7
⟹ y = 7 - 4
⟹ y = 3
Hence, The solution is x = 2, y = 3.
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