Question

Solve for x and Y using substitution method

10x + 3y = 75

6x - 5y = 11

Answer 1

Hey!!

10x + 3y = 75 ---------(1)

6x - 5y = 11---------(2)

From eq'n (1)

10x + 3y = 75

=> 3y = 75 - 10x

=> y = 75 - 10x / 3 ---------(3)


Substitute eq'n (3) from eq'n (2) we get

6x - 5y = 11

=> 6x - 5 ( 75 - 10x / 3 ) = 11

=> 18x - 375 + 50x = 33

=> 68x - 375 = 33

=> 68x = 33 + 375

=> 68x = 408

=> x = 408 / 68

=> x = 6 >>>>>> Answer

From eq'n (2) we get

6x - 5y = 11

=> 6 ( 6 ) - 5y = 11

=> 36 - 5y = 11

=> - 5y = 11 - 36

=> - 5y = - 25

=> y = 25 / 5

=> y = 5 >>>> Answer


Therefore the value of x = 6 and y = 5


Hope it will helps you ✌

Answer 2

♥️Hi there ♥️

10x + 3y = 75 ---- (1)

6x - 5y = 11 ----- (2)

From eqn (2)

$x = \frac{11 + 5y}{6} \: \: - - - - (3)$

Now put it in (1)

$10( \frac{11 + 5y}{6} ) + 3y = 75 \\ \\ 110 + 50y + 18y = 450 \\ \\ 68y = 340 \\ \\ y = 5$
Now y = 5 put it in eqn (3)

$x = \: \frac{11 + 55}{6} \\ \\ x = 11$
Hence
$x = 11$
and

$y = 5$

Thanks !!☺️