1.

Solve for x and Y using substitution methodX + Y = 34x - 3y = 26

Answer»

♥️Hi there ♥️

By substitution METHOD .

x + y = <klux>3</klux> \: \: \: - - - - (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 .


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