Solve each system
3x+2y= -2
9x- y= -6
I know how to solve for x
but i get really lost trying to figure out how to solve for the second variable
whats the value of x?
then i can do the rest of it;
see the question below you entered. there is no need to enter them twice.
Two pumps can fill a water tank in 256minutes when working together. Alone, the second pump takes 4times as long as the first to fill the tank.
How many minutes would it take the first pump to fill the tank?
It will take
minutes for the first pump to fill the tank.
To solve a system of equations like the one given, you can use either the substitution method or the elimination method.
Let's go through the steps to solve the given system using the elimination method:
Step 1: Multiply both sides of the second equation by 2 to make the coefficients of y in both equations the same (either both positive or both negative). This step helps with easy elimination in the next step.
Original equation: 9x - y = -6
Multiply by 2: 18x - 2y = -12
Now, we have the following system of equations:
Equation 1: 3x + 2y = -2
Equation 2: 18x - 2y = -12
Step 2: Add the two equations together to eliminate the variable "y." This allows you to solve for "x."
(3x + 2y) + (18x - 2y) = -2 + (-12)
Simplifying the left side: 21x = -14
Step 3: Now, solve for "x" by dividing both sides of the equation by 21.
21x / 21 = -14 / 21
x = -2/3
Step 4: Substitute the value of "x" back into either of the original equations, Equation 1, to solve for "y."
3(-2/3) + 2y = -2
(-2) + 2y = -2
2y = 0
y = 0
Therefore, the solution to the system of equations is x = -2/3 and y = 0.