Solve the system x+2y=3                            4x+5y=6

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x+2y =3 ..........(1)

4x + 5y = 6........(2)

Let us use the substitution method:

from (1):

x = 3- 2y

Now substitute in (2):

4x + 5y = 6

4(3-2y) + 5y = 6

12 - 8y + 5y = 6

-3y = -6

y= 2

x = 3-2y = 3- 2*2 = -1

x= -1

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