can someone correct this for me please.
Directions: Solve the following system by substitution.
5x-2y=-5
y-5x-3
what i received as the solution are :
x = - (1)/(5) and y = 2
which it would look like:
(-(1)/(5) , 2)
correct.
To solve the system by substitution, we need to solve one of the equations for one variable and substitute that expression into the other equation. Let's start with the second equation:
y - 5x - 3 = 0
We can rearrange this equation to solve for y:
y = 5x + 3
Now, we substitute this expression for y in the first equation:
5x - 2(5x + 3) = -5
Simplify by distributing the 2:
5x - 10x - 6 = -5
Combine like terms:
-5x - 6 = -5
Add 6 to both sides:
-5x = 1
Divide both sides by -5:
x = -(1/5)
Now that we have the value of x, we can substitute it back into the second equation to solve for y:
y = 5(-1/5) + 3
Simplify:
y = -1 + 3
y = 2
So the solution to the system of equations is x = -(1/5) and y = 2. To represent this solution as an ordered pair, we write it as (-1/5, 2).
So based on the information provided, your solution of x = - (1/5) and y = 2 is correct. The ordered pair representation would be (-1/5, 2).