Question

Solve this system by substitution 7x-y=3y=x+3

Answer 1

System of Equations

Solve the system by substitution:

7x - y = 3 [1]

y = x + 3 [2]

Substituting from [2] into [1]:

7x - (x + 3) = 3

Operate the parentheses. Everything inside of it is multiplied by -1:

7x - x - 3 = 3

Simplify:

6x - 3 = 3

Add 3:

6x = 6

Divide by 6:

x = 6/6

x = 1

Now substitute in [2]:

y = 1 + 3

y = 4

Solution: x=1, y = 4