Question

find the value of x and y.
x/2+y/3=7
x/5-y/4=-1​

Answer 1

Answer:

The value of x and y is 7.39 and 9.91 respectively

Step-by-step explanation:

Given equations,

• $\dfrac{x}{2}+\dfrac{y}{3}=7$ -------------(i)
• $\dfrac{x}{5}-\dfrac{y}{4}=-1$ ------------(ii)

In equation (i),

$\dfrac{x}{2}+\dfrac{y}{3}=7$

$\dfrac{3x+2y}{6}=7$

3x + 2y = 42

Multiply above Eqn by 5, it becomes

15x + 10y = 210 ---------------(iii)

In equation (i),

$\dfrac{x}{5}-\dfrac{y}{4}=-1$

$\dfrac{4x-5y}{20}=-1$

4x - 5y = -20

Multiply Eqn by 2, it becomes

8x - 10y = -40 ---------------(iv)

Now, add both Eqn (iii) and (iv), it gives-

23x = 170

x = 7.39

put the value of x in eqn (iii),

3(7.39) + 2y = 42

y = 9.91