Question

find the value of x&y by substitution method
4x-3y=5equation 1
2y-x=7 equation 2​

Answer 1

Question :-

Find the value of x&y by substitution method

4x-3y=5 ... eqⁿ 1

2y-x=7 ... eqⁿ 2

Answer :-

• By using substitution method :-

4x - 3y = 5 ..eqⁿ 1

2y - x = 7 ..eqⁿ 2

2y - x = 7

-x = 7 - 2y

x = 2y - 7 ...eqⁿ 3

• by eqⁿ 3 and eqⁿ 1

4x - 3y = 5

4(2y - 7) - 3y = 5

8y - 28 - 3y = 5

5y = 5 + 28

$\boxed{\sf{y = \frac{33}{5} }}$

• putting the value of y in eqⁿ 2

2y - x = 7

$\sf{2( \frac{33}{5}) - x = 7 }$

$\sf{ \frac{66}{5} - x = 7} \\ \sf{ - x = 7 - \frac{66}{5} } \\ \sf{x = \frac{66}{5} - 7} \\ \sf{x = \frac{66 - 35}{5} } \\ \boxed{\sf{x = \frac{31}{5} }}$