solve by substitution
5x-2y = -5
y - 5x = 3
could someone take a min a show me how to do this problem by steps so i can do the rest of my problems
and wait a min so i may ask questions. I m failing my algebra class and desparately need help.
5x-2y = -5
y - 5x = 3
take the second equation and solve for y.
y= 5x+3
Now,put that in the first equation for y.
5x-2(5x+3)=-5
and solve.
Tammy, I think you need a real tutor twice a week. Discuss this with your mom today. Your teacher probably has a list of tutors. They are not inexpensive.
To solve the system of equations using the substitution method, follow these steps:
1. Start with the given system of equations:
Equation 1: 5x - 2y = -5
Equation 2: y - 5x = 3
2. Solve one of the equations for one variable in terms of the other variable. In this case, let's solve Equation 2 for y.
Equation 2: y = 5x + 3
3. Substitute the expression for y from Equation 2 into Equation 1, since y is equal to 5x + 3.
Equation 1: 5x - 2(5x + 3) = -5
4. Simplify the equation by performing the necessary operations, following the Order of Operations (PEMDAS or BODMAS).
Distribute the -2 to 5x and 3:
5x - 10x - 6 = -5
Combine like terms:
-5x - 6 = -5
5. Isolate the variable by performing the necessary operations to get x by itself on one side of the equation.
Add 6 to both sides of the equation:
-5x - 6 + 6 = -5 + 6
Simplify:
-5x = 1
6. Solve for x by dividing both sides of the equation by -5.
Divide by -5:
(-5x)/-5 = 1/-5
Simplify:
x = -1/5
7. Now that you have the value of x, substitute it back into one of the original equations to solve for y. Let's use Equation 2.
y - 5(-1/5) = 3
Simplify:
y + 1 = 3
Subtract 1 from both sides of the equation:
y + 1 - 1 = 3 - 1
Simplify:
y = 2
8. Therefore, the solution to the system of equations is x = -1/5 and y = 2.
Remember, it's important to practice more problems and seek additional help from a tutor or your teacher if you are struggling with algebra. Good luck!