Question

Solve for x and Y using substitution method

X + Y = 3

4x - 3y = 26

Answer 1

Hey!!

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

4x - 3y = 26 --------(2)


From eq'n (1) we get

x + y = 3

=> y = 3 - x -------( 3 )

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

4x - 3y = 26

=> 4x - 3 ( 3 - x ) = 26

=> 4x - 9 + 3x = 26

=> 7x = 26 + 9

=> 7x = 35

=> x = 5 >>>> Answer

From eq'n ( 3 ) we get

y = 3 - x

=> y = 3 - 5

=> y = - 2 >>>> Answer

Therefore the value of x = 5 and value of y = - 2



Hope it will helps you ✌

Answer 2

♥️Hi there ♥️

By substitution method .

$x + y = 3 \: \: \: - - - - (1)$
$4x - 3y = 26 \: \: - - - - (2)$

From equation 1 ,

x = 3 - y --------(3)

Now put this in equation 1

$4(3 - y) - 3y = 26 \\ \\ 12 - 4y - 3y = 26 \\ \\ - 7y = 14 \\ \\ y = - 2$
Now put it in equation 3

x = 3 - (-2)

x = 3 +2

x =5

$hence \: x = 5 \: and \: y = - 2$

Now for elimination method ,

$x + y = 3 - - - (1) \\ \\ 4x - 3y = 26$
Multiply 3 in first eqn so that 3y can eliminate and multiply 1 from 2

$3x + 3y = 9 \\ \\ 4x - 3y = 26$
Now , add both the eqn
$3x + 3y + 4x - 3y = 9 + 26 \\ \\ 7x = 35 \\ \\ x = 5 \\ \\ put \: it \: in \: eqn \: (1) \\ \\ 5 + y = 3 \\ \\ y = 3 - 5 \\ y = - 2$

Thanks !!!☺️

Hope it will helpful .