1.

Solve for x and y y/2+x=4 2y+x/3=5​

Answer»

Step-by-step explanation:

The given pair of EQUATIONS are:

x + y/2 = 4 …………(i)

2y + x/3 = 5…………(ii)

From (i) we GET,

x + y/2 = 4

⇒ 2x + y = 8 [After taking LCM]

⇒ y = 8 – 2x …..(iv)

From (ii) we get,

x + 6y = 15 …………(iii) [After taking LCM]

Substituting y in (iii),

we get x + 6(8 – 2x) = 15

⇒ x + 48 – 12x = 15

⇒ -11x = 15 – 48

⇒ -11x = -33

⇒ x = 3

PUTTING x = 3 in (iv),

we get y = 8 – (2 x 3)

∴ y = 8 – 6 = 2

Hence, the solution of the given system of equation are x = 3 and y = 2



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