To solve the system of equations:
-3x - 4y = -23
3x - 5y = 5
We can eliminate one of the variables by adding the two equations together:
(-3x - 4y) + (3x - 5y) = (-23) + (5)
This simplifies to:
-4y - 5y = -18
Combining like terms:
-9y = -18
Dividing both sides by -9:
y = 2
Now, substitute the value of y back into one of the original equations to find the value of x. Let's use the first equation:
-3x - 4y = -23
-3x - 4(2) = -23
-3x - 8 = -23
Adding 8 to both sides:
-3x = -15
Dividing both sides by -3:
x = 5
So the solution to the system of equations is x = 5 and y = 2.
Solve the system equations
-3x -4y=-23
3x-5y=5
1 answer