2x + 3y = 11

y = x-3

2x+3y=11 y=x-3

2x+3 (x-3) = 11

2x+3x-9=11

5x=20/:5

x=4

y=x-3

y=4-3

y=1

x=4 and y=1

Explanation:

Let's solve your system by substitution.

2x+3y=11; y=x-3

Rewrite equations:

y=x-3; 2x+3y=11

Step: Solve y=x-3 for y:

y=x-3

Step: Substitute x-3 for y in 2x+3y=11:

2x+3y=11

2x+3 (x-3) = 11

5x-9=11 (Simplify both sides of the equation)

5x-9+9=11+9 (Add 9 to both sides)

5x=20

5x/5=20/5

(Divide both sides by 5)

x=4

Step: Substitute 4 for x in y=x-3:

y=x-3

y=4-3

y=1 (Simplify both sides of the equation)

Answer:

x=4 and y=1