Question
Solve the following simultaneous equations : $\frac{x}{3}+5 y=13 ; 2 x+\frac{y}{2}=19$
✓
Answer
$\frac{x}{3}+5 y=13$
Multiplying both sides by 3 ,
$x+15 y=39 \ldots(\text { (i) }$
$2 x+\frac{y}{2}=19$
Multiplying both sides by 2,
4x + y = 38 …….(ii)
Multiplying equation (i) by 4,
4x + 60y = 156 …(iii)
Subtracting equation (ii) from (iii),
4x + 60y =156 4x + y= 38
∴ y = 2
Substituting y = 2 in equation (i),
x + 15y = 39
∴ x+ 15(2) = 39
∴ x + 30 = 39
∴ x = 39 – 30 = 9
∴ (9,2) is the solution of the given equations.
Multiplying both sides by 3 ,
$x+15 y=39 \ldots(\text { (i) }$
$2 x+\frac{y}{2}=19$
Multiplying both sides by 2,
4x + y = 38 …….(ii)
Multiplying equation (i) by 4,
4x + 60y = 156 …(iii)
Subtracting equation (ii) from (iii),
4x + 60y =156 4x + y= 38
∴ y = 2
Substituting y = 2 in equation (i),
x + 15y = 39
∴ x+ 15(2) = 39
∴ x + 30 = 39
∴ x = 39 – 30 = 9
∴ (9,2) is the solution of the given equations.
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