To solve the system of equations 2x + y = -8 and y = 2x + 4, we can use the method of substitution.
First, let's solve the second equation, y = 2x + 4, for y. We can then substitute this expression for y in the first equation:
2x + (2x + 4) = -8
Now simplify the equation:
4x + 4 = -8
Subtract 4 from both sides:
4x = -12
Divide both sides by 4:
x = -3
Now that we have found the value of x, we can substitute it back into one of the original equations to find y. Let's use the second equation, y = 2x + 4:
y = 2(-3) + 4
y = -6 + 4
y = -2
Therefore, the solution to the system of equations 2x + y = -8 and y = 2x + 4 is x = -3 and y = -2.
Can you explain how to solve 2x+y=-8 and y=2x+4 these are not 2 different equations but 1 equation system of equations problem there's a bracket around the 2 of them thank you.
5 answers
It does make since how you did it but it's still complicated to me trying to remember the steps
I apologize if the explanation was not clear enough. Let's simplify the steps to solve the system of equations using substitution:
1. Start with the given system of equations:
2x + y = -8 (Equation 1)
y = 2x + 4 (Equation 2)
2. Solve one of the equations for a variable in terms of the other variable. In this case, equation 2 already gives y in terms of x, so we can skip this step.
3. Substitute the expression for the variable from step 2 into the other equation. In this case, substitute y = 2x + 4 from equation 2 into equation 1:
2x + (2x + 4) = -8
4. Simplify the equation by combining like terms:
4x + 4 = -8
5. Subtract 4 from both sides of the equation to isolate the variable:
4x = -12
6. Divide both sides of the equation by 4 to solve for x:
x = -3
7. Substitute the value of x = -3 back into one of the original equations to solve for the other variable. Using equation 2:
y = 2(-3) + 4
y = -6 + 4
y = -2
Therefore, the solution to the system of equations 2x + y = -8 and y = 2x + 4 is x = -3 and y = -2.
I hope this simplifies the steps for you. Let me know if you have any further questions!
1. Start with the given system of equations:
2x + y = -8 (Equation 1)
y = 2x + 4 (Equation 2)
2. Solve one of the equations for a variable in terms of the other variable. In this case, equation 2 already gives y in terms of x, so we can skip this step.
3. Substitute the expression for the variable from step 2 into the other equation. In this case, substitute y = 2x + 4 from equation 2 into equation 1:
2x + (2x + 4) = -8
4. Simplify the equation by combining like terms:
4x + 4 = -8
5. Subtract 4 from both sides of the equation to isolate the variable:
4x = -12
6. Divide both sides of the equation by 4 to solve for x:
x = -3
7. Substitute the value of x = -3 back into one of the original equations to solve for the other variable. Using equation 2:
y = 2(-3) + 4
y = -6 + 4
y = -2
Therefore, the solution to the system of equations 2x + y = -8 and y = 2x + 4 is x = -3 and y = -2.
I hope this simplifies the steps for you. Let me know if you have any further questions!
Yes you explain very well I think I just need to get the hang of it if you can understand my speech thank you
You're welcome! I'm glad the explanation was helpful. Don't worry, understanding and solving systems of equations can take some practice, but with time and practice, you'll become more comfortable with it. If you have any further questions or need any more assistance, feel free to ask. I'm here to help!