3x-4y=1 and x=2y+1 using substitution

x = -1

y = -1

Step-by-step explanation:

to solve this system of equation, using substiution method

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

x=2y+1 ... equation 2

subbstitute for x into equation 1

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

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

6y + 3 - 4y = 1

2y + 3 = 1

collect the like terms

2y = 1 - 3

2y = - 2

divide both sides by the coefficient of y which is y

2y/2 = - 2/2

y = - 1

put the value of y = -1 into equation 2

x=2y+1 ... equation 2

x = 2 (-1) + 1

x = - 2 + 1

x = - 1

therefore x = -1 y = - 1