Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
To solve the equation [tex]\( x - 5y = 45 \)[/tex] for [tex]\( y \)[/tex] when [tex]\( x = 5 \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[ x - 5y = 45 \][/tex]
2. Substitute [tex]\( x = 5 \)[/tex] into the equation:
[tex]\[ 5 - 5y = 45 \][/tex]
3. Isolate the term involving [tex]\( y \)[/tex] by moving the constant term ([tex]\( 5 \)[/tex]) to the other side of the equation:
[tex]\[ -5y = 45 - 5 \][/tex]
4. Simplify the right-hand side of the equation:
[tex]\[ -5y = 40 \][/tex]
5. Divide both sides of the equation by [tex]\(-5\)[/tex] to solve for [tex]\( y \)[/tex]:
[tex]\[ y = \frac{40}{-5} \][/tex]
6. Perform the division:
[tex]\[ y = -8 \][/tex]
So the value of [tex]\( y \)[/tex] when [tex]\( x = 5 \)[/tex] is [tex]\( y = -8 \)[/tex]. Therefore, the solution to the equation [tex]\( x - 5y = 45 \)[/tex] when [tex]\( x = 5 \)[/tex] is:
[tex]\[ x = 5, \quad y = -8 \][/tex]
1. Start with the given equation:
[tex]\[ x - 5y = 45 \][/tex]
2. Substitute [tex]\( x = 5 \)[/tex] into the equation:
[tex]\[ 5 - 5y = 45 \][/tex]
3. Isolate the term involving [tex]\( y \)[/tex] by moving the constant term ([tex]\( 5 \)[/tex]) to the other side of the equation:
[tex]\[ -5y = 45 - 5 \][/tex]
4. Simplify the right-hand side of the equation:
[tex]\[ -5y = 40 \][/tex]
5. Divide both sides of the equation by [tex]\(-5\)[/tex] to solve for [tex]\( y \)[/tex]:
[tex]\[ y = \frac{40}{-5} \][/tex]
6. Perform the division:
[tex]\[ y = -8 \][/tex]
So the value of [tex]\( y \)[/tex] when [tex]\( x = 5 \)[/tex] is [tex]\( y = -8 \)[/tex]. Therefore, the solution to the equation [tex]\( x - 5y = 45 \)[/tex] when [tex]\( x = 5 \)[/tex] is:
[tex]\[ x = 5, \quad y = -8 \][/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.