-x - 5y = 30
2x - 7y = 25
sorry, but your solution does not work, since
2(-40) - 7(2) ≠ 25
Correct solution is
x = -5 , y = -5
I apologize for the mistake in my previous solution. Thank you for correcting me.
To solve the system of equations:
-x - 5y = 30
2x - 7y = 25
Using the elimination method, we can multiply the first equation by 2 and then add the resulting equation to the second equation to eliminate the x variable. This gives us:
-2x - 10y = 60
2x - 7y = 25
--------------
-17y = 85
Dividing both sides by -17, we get y = -5. Substituting y = -5 in the first equation, we can solve for x:
-x - 5(-5) = 30
-x + 25 = 30
-x = 5
x = -5
Therefore, the solution to the system of equations is:
x = -5
y = -5.
To solve the system of equations:
Step 1: Multiply the first equation by 2 to make the coefficients of x in both equations the same:
-2x - 10y = 60
Step 2: Write down both equations together:
-2x - 10y = 60
2x - 7y = 25
Step 3: Add the two equations together:
(-2x - 10y) + (2x - 7y) = 60 + 25
-2x + 2x - 10y - 7y = 85
-17y = 85
Step 4: Divide both sides of the equation by -17 to solve for y:
-17y / -17 = 85 / -17
y = -5
Step 5: Substitute the value of y into one of the original equations to solve for x:
- x - 5(-5) = 30
- x + 25 = 30
- x = 30 - 25
- x = 5
Step 6: The solution to the system of equations is x = 5 and y = -5.
To solve this system of equations, we can use the elimination method.
First, let's multiply the first equation by 2:
-2x - 10y = -60
Now we can add this equation to the second equation to eliminate the x variable:
-2x - 10y = -60
+ 2x - 7y = 25
--------------
-17y = -35
Dividing both sides by -17, we get:
y = 2
Now we can substitute this value of y back into either equation and solve for x. Let's use the first equation:
-x - 5y = 30
-x - 5(2) = 30
-x - 10 = 30
-x = 40
x = -40
Therefore, the solution to the system of equations is:
x = -40
y = 2