solve the system using substitution
{x+2y=11
{3x+2y=13
i just told u this one
To solve the given system of equations using the method of substitution, we will solve one equation for one variable and substitute it into the other equation.
Let's solve equation 1, x + 2y = 11, for x:
x = 11 - 2y (equation 1)
Now, substitute this value of x into equation 2, 3x + 2y = 13:
3(11 - 2y) + 2y = 13 (substituting x = 11 - 2y)
Simplify the equation:
33 - 6y + 2y = 13
Combine like terms:
-4y + 33 = 13
Subtract 33 from both sides:
-4y = -20
Divide both sides by -4:
y = 5
Now that we have the value of y, substitute it back into equation 1 to find x:
x = 11 - 2(5)
x = 11 - 10
x = 1
So, the solution to the system of equations is x = 1 and y = 5.