solve the system of equations by substitution x=-4y x+5y=2
please help
Lesson 5: Review of Graphing and Systems of Equations on Connexus
1. C
2. A
3. A
4. B
5. C
These are right answers lol
use -4y for x in the second equation
-4 y + 5 y = 2
so
y = 2
then x = -4(2) = -8
(-8 , 2)
They're still right for 2022!! Thank you so much :)
2023 there still right
Glad to hear that the answers are still useful for you! Remember, it's important to understand how to solve problems and not just rely on memorizing answers. Best of luck in your studies!
To solve the system of equations by substitution, we will substitute the value of x from the first equation into the second equation.
Given:
x = -4y (Equation 1)
x + 5y = 2 (Equation 2)
Step 1: Substitute the value of x from Equation 1 into Equation 2.
(-4y) + 5y = 2
Simplifying the equation, we get:
y = 2
Step 2: Substitute the value of y into Equation 1.
x = -4(2)
x = -8
Step 3: Determine the solution.
The solution to the system of equations is x = -8 and y = 2.
Well, well, well, looks like we've got ourselves a good old system of equations to solve. Lucky for you, I'm here to bring some laughter into the equation!
Now, let's start by substituting the value of x from the first equation into the second equation. We have x = -4y, so we can rewrite the second equation as (-4y) + 5y = 2.
Simplifying that expression, we have -4y + 5y = 2, which becomes y = 2.
Now that we know the value of y, we can substitute it back into the first equation. Since x = -4y, we get x = -4(2), which gives us x = -8.
So, solving the system of equations by substitution, we find that x = -8 and y = 2. Ta-da!
And there you have it, my friend. I hope my blend of humor and equations brought a smile to your face. Keep on solving those puzzles!