Question

solve 7x-y=17 and x+2y=3​

Answer 1

Answer:

x=  $\frac{ 99}{7}$ is the required answer

Step-by-step explanation:

As we have two equations 7x - y = 17 ......... (1)

and x + 2y = 3 ..... (2)

Now we will solve this by the substitution method as ,

7x - y = 17

7x = 17 + y

x = $\frac{17+y}{7}$ .......  (3)

Now , substituting this value of x in the equation (2)

⇒  x + 2y = 3

⇒  $\frac{17+y}{7}$ + 2y = 3

⇒  $\frac{17 + y + 14y}{7}$ = 3

⇒  17 + 15y = 21

⇒  15y = 21 -17

⇒  15y = 4

⇒ y = $\frac{4}{15}$

Now, substituting the value of y in the equation (3)

x = $\frac{17 + \frac{14}{5} }{7}$

x = $\frac{85 + 14}{7}$

x=  $\frac{ 99}{7}$