Solve the equation 3 + 2x = 1 – x. Check your result.

1.	Solve the equation 3 + 2x = 1 – x. Check your result.
Answer» Now, find the value of x by considering the given equation,=3 + 2x = 1 – x Transposing 3 to RHS and it becomes -3 and -x to LHS it becomes x = 2x + x = 1 – 3 = 3x = -2 Multiplying both side by (1/3) = 3x × (1/3) = -2 × (1/3) = x = (-2/3) By substituting -2/3 in the place of x in given equation, we get LHS, = 3 + 2 × (-2/3) = 3 + (-4/3) = 3 – (4/3) = (9 – 4) / 3 = 5/3 RHS, = 1 – (-2/3) = 1 + (2/3) = (3 + 2)/ 3 = 5/3 By comparing LHS and RHS = 5/3 = 5/3 ∴ LHS = RHS Hence, the result is verified.

Answer»

Now, find the value of x by considering the given equation,=3 + 2x = 1 – x

Transposing 3 to RHS and it becomes -3 and -x to LHS it becomes x

= 2x + x = 1 – 3

= 3x = -2

Multiplying both side by (1/3)

= 3x × (1/3) = -2 × (1/3)

= x = (-2/3)

By substituting -2/3 in the place of x in given equation, we get

LHS,

= 3 + 2 × (-2/3)

= 3 + (-4/3)

= 3 – (4/3)

= (9 – 4) / 3

= 5/3

RHS,

= 1 – (-2/3)

= 1 + (2/3)

= (3 + 2)/ 3

= 5/3

By comparing LHS and RHS

= 5/3 = 5/3

∴ LHS = RHS

Hence, the result is verified.

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