Question

Please solve the system of equations!!

Answer 1

$\bf \dagger \: To \: find$

• Value of x

• Value of y

$\bf \dagger \: Given$

• x = y - 4

• - 10 x + 3y = 5

$\bf \dagger \: Solution$

$\dashrightarrow \sf - 10 x + 3y = 5$

Put value of x I.e y - 4 in the equation

$\dashrightarrow \sf - 10(y - 4) + 3y = 5$

$\dashrightarrow \sf - 10y + 40 + 3y = 5$

$\dashrightarrow \sf - 10y+ 3y + 40 = 5$

$\dashrightarrow \sf -7y + 40 = 5$

$\dashrightarrow \sf -7y = 5 - 40$

$\dashrightarrow \sf -7y = - 35$

$\dashrightarrow \sf \cancel-7y = \cancel - 35$

$\dashrightarrow \sf 7y = 35$

$\dashrightarrow \sf y = \dfrac{35}{7}$

$\dashrightarrow \boxed{\sf y = 5} \star$

Now Let's find value of x.

Put value of y I equation: x = y -4

$\dashrightarrow \sf x = y - 4$

$\dashrightarrow \sf x = 5 - 4$

$\dashrightarrow \boxed{\sf \: x = 1} \star$

.°. value of x and y = 1 and 5 respectively