solve:
3x+5y= -11
x-2y=11
This looks like a problem I answered earlier today. Is this a duplicate post?
To solve the system of equations:
Equation 1: 3x + 5y = -11
Equation 2: x - 2y = 11
There are a few different methods you could use to solve this system, such as substitution, elimination, or graphing. Here, I will explain the substitution method:
Step 1: Solve Equation 2 for x:
x = 11 + 2y
Step 2: Substitute the value of x from Equation 2 into Equation 1:
3(11 + 2y) + 5y = -11
Step 3: Simplify and solve for y:
33 + 6y + 5y = -11
11y + 33 = -11
11y = -11 - 33
11y = -44
y = -44 / 11
y = -4
Step 4: Substitute the value of y back into Equation 2 to find x:
x - 2(-4) = 11
x + 8 = 11
x = 11 - 8
x = 3
Therefore, the solution to the system of equations is x = 3 and y = -4.