Solve y-2x=1, 3x-4y=1 using substitution m

Step-by-step explanation:

given

y - 2x = 1

y = 1 + 2x ... equation 1

3x - 4y = 1 ... equation 2

Now putting y = 1 + 2x in equation 2

3x - 4 (1 + 2x) = 1

3x - 4 - 8x = 1

- 5x = 1 + 4

- 5x = 5

Therefore x = - 1

Now putting x = - 1 in equation 1

y = 1 + 2 * (-1)

= 1 - 2

= - 1

y-2x=1

3x-4y=1

y=1+2x

3x-4y=1

y=1+2x

3x-4 (1+2x) = 1

y=1+2x

3x-4-8x=1

y=1+2x

-5x-4=1

y=1+2x

-5x=1+4

y=1+2x

-5x=5

y=1+2x

x=-1

y=1+2 * (-1)

x=-1

y=1 + (-2)

x=-1

y=-1

x=-1