Solve, using the substitution method. 2x + 3y = 3 x + 2y = 1 (1, 4) (0, - 2) (3, - 1) (7, - 5/2)

x = 3 and y = - 1

Step-by-step explanation:

using substitution method

let;

2x + 3y = 3 ... equation 1

x + 2y = 1 ... equation 2

from equation 2

x + 2y = 1 ... equation 2

x = 1 - 2y ... equation 3

substitute for x = 1 - 2y in equation 1

2x + 3y = 3 ... equation 1

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

Open the bracket

2 - 4y + 3y = 3

2 - y = 3

-y = 3 - 2

-y = 1

multiply both sides by -

therefore y = - 1

put y = - 1 in equation 3

x = 1 - 2y ... equation 3

x = 1 - 2 (-1)

x = 1 + 2

x = 3

therefore x = 3 and y = - 1

to check for the correctness of your answer put the value of x = 3 and y = - 1 in any of the equations. e. g

x = 1 - 2y ... equation 3

3 = 1 - 2 (-1)

3 = 3 ... proved