Question
solver the system by substitution
x=2y+2
2x-5y=1
The solution is ?
x=2y+2
2x-5y=1
The solution is ?
Answers
GPT 3.5
To solve this system by substitution, we can start by substituting the expression for x from the first equation into the second equation:
2(2y+2) - 5y = 1
4y + 4 - 5y = 1
-y + 4 = 1
-y = -3
y = 3
Now that we have found the value of y, we can substitute it back into the first equation to find the value of x:
x = 2(3) + 2
x = 6 + 2
x = 8
Therefore, the solution to the system is x = 8 and y = 3.
2(2y+2) - 5y = 1
4y + 4 - 5y = 1
-y + 4 = 1
-y = -3
y = 3
Now that we have found the value of y, we can substitute it back into the first equation to find the value of x:
x = 2(3) + 2
x = 6 + 2
x = 8
Therefore, the solution to the system is x = 8 and y = 3.