Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Sure, let's verify whether the given values satisfy the equations one by one.
### (a)
Equation: [tex]\( 2x + 4 = 15 \)[/tex]
Given: [tex]\( x = 2 \)[/tex]
[tex]\[ 2(2) + 4 = 4 + 4 = 8 \][/tex]
The left-hand side (LHS) is 8, which does not equal the right-hand side (RHS) of 15.
Result: The value [tex]\( x = 2 \)[/tex] is not a solution to the equation.
### (b)
Equation: [tex]\( 7x + 15 = 45 \)[/tex]
Given: [tex]\( x = 5 \)[/tex]
[tex]\[ 7(5) + 15 = 35 + 15 = 50 \][/tex]
The LHS is 50, which does not equal the RHS of 45.
Result: The value [tex]\( x = 5 \)[/tex] is not a solution to the equation.
### (c)
Equation: [tex]\( 7x + 2 = 23 \)[/tex]
Given: [tex]\( x = 3 \)[/tex]
[tex]\[ 7(3) + 2 = 21 + 2 = 23 \][/tex]
The LHS is 23, which equals the RHS of 23.
Result: The value [tex]\( x = 3 \)[/tex] is a solution to the equation.
### (d)
Equation: [tex]\( \frac{4x}{5} + 2 = 6 \)[/tex]
Given: [tex]\( x = 5 \)[/tex]
[tex]\[ \frac{4(5)}{5} + 2 = \frac{20}{5} + 2 = 4 + 2 = 6 \][/tex]
The LHS is 6, which equals the RHS of 6.
Result: The value [tex]\( x = 5 \)[/tex] is a solution to the equation.
### (e)
Equation: [tex]\( 4p - 5 = 16 \)[/tex]
Given: [tex]\( p = 7 \)[/tex]
[tex]\[ 4(7) - 5 = 28 - 5 = 23 \][/tex]
The LHS is 23, which does not equal the RHS of 16.
Result: The value [tex]\( p = 7 \)[/tex] is not a solution to the equation.
### (f)
Equation: [tex]\( 4p - 5 = 23 \)[/tex]
Given: [tex]\( p = 7 \)[/tex]
[tex]\[ 4(7) - 5 = 28 - 5 = 23 \][/tex]
The LHS is 23, which equals the RHS of 23.
Result: The value [tex]\( p = 7 \)[/tex] is a solution to the equation.
### (g)
Equation: [tex]\( 2x + 5 = 15 \)[/tex]
Given: [tex]\( x = 5 \)[/tex]
[tex]\[ 2(5) + 5 = 10 + 5 = 15 \][/tex]
The LHS is 15, which equals the RHS of 15.
Result: The value [tex]\( x = 5 \)[/tex] is a solution to the equation.
### (h)
Equation: [tex]\( 3x - 4 = 16 \)[/tex]
Given: [tex]\( x = 2 \)[/tex]
[tex]\[ 3(2) - 4 = 6 - 4 = 2 \][/tex]
The LHS is 2, which does not equal the RHS of 16.
Result: The value [tex]\( x = 2 \)[/tex] is not a solution to the equation.
### (i)
Equation: [tex]\( \frac{2x}{5} + 4 = 10 \)[/tex]
Given: [tex]\( x = 5 \)[/tex]
[tex]\[ \frac{2(5)}{5} + 4 = \frac{10}{5} + 4 = 2 + 4 = 6 \][/tex]
The LHS is 6, which does not equal the RHS of 10.
Result: The value [tex]\( x = 5 \)[/tex] is not a solution to the equation.
### (a)
Equation: [tex]\( 2x + 4 = 15 \)[/tex]
Given: [tex]\( x = 2 \)[/tex]
[tex]\[ 2(2) + 4 = 4 + 4 = 8 \][/tex]
The left-hand side (LHS) is 8, which does not equal the right-hand side (RHS) of 15.
Result: The value [tex]\( x = 2 \)[/tex] is not a solution to the equation.
### (b)
Equation: [tex]\( 7x + 15 = 45 \)[/tex]
Given: [tex]\( x = 5 \)[/tex]
[tex]\[ 7(5) + 15 = 35 + 15 = 50 \][/tex]
The LHS is 50, which does not equal the RHS of 45.
Result: The value [tex]\( x = 5 \)[/tex] is not a solution to the equation.
### (c)
Equation: [tex]\( 7x + 2 = 23 \)[/tex]
Given: [tex]\( x = 3 \)[/tex]
[tex]\[ 7(3) + 2 = 21 + 2 = 23 \][/tex]
The LHS is 23, which equals the RHS of 23.
Result: The value [tex]\( x = 3 \)[/tex] is a solution to the equation.
### (d)
Equation: [tex]\( \frac{4x}{5} + 2 = 6 \)[/tex]
Given: [tex]\( x = 5 \)[/tex]
[tex]\[ \frac{4(5)}{5} + 2 = \frac{20}{5} + 2 = 4 + 2 = 6 \][/tex]
The LHS is 6, which equals the RHS of 6.
Result: The value [tex]\( x = 5 \)[/tex] is a solution to the equation.
### (e)
Equation: [tex]\( 4p - 5 = 16 \)[/tex]
Given: [tex]\( p = 7 \)[/tex]
[tex]\[ 4(7) - 5 = 28 - 5 = 23 \][/tex]
The LHS is 23, which does not equal the RHS of 16.
Result: The value [tex]\( p = 7 \)[/tex] is not a solution to the equation.
### (f)
Equation: [tex]\( 4p - 5 = 23 \)[/tex]
Given: [tex]\( p = 7 \)[/tex]
[tex]\[ 4(7) - 5 = 28 - 5 = 23 \][/tex]
The LHS is 23, which equals the RHS of 23.
Result: The value [tex]\( p = 7 \)[/tex] is a solution to the equation.
### (g)
Equation: [tex]\( 2x + 5 = 15 \)[/tex]
Given: [tex]\( x = 5 \)[/tex]
[tex]\[ 2(5) + 5 = 10 + 5 = 15 \][/tex]
The LHS is 15, which equals the RHS of 15.
Result: The value [tex]\( x = 5 \)[/tex] is a solution to the equation.
### (h)
Equation: [tex]\( 3x - 4 = 16 \)[/tex]
Given: [tex]\( x = 2 \)[/tex]
[tex]\[ 3(2) - 4 = 6 - 4 = 2 \][/tex]
The LHS is 2, which does not equal the RHS of 16.
Result: The value [tex]\( x = 2 \)[/tex] is not a solution to the equation.
### (i)
Equation: [tex]\( \frac{2x}{5} + 4 = 10 \)[/tex]
Given: [tex]\( x = 5 \)[/tex]
[tex]\[ \frac{2(5)}{5} + 4 = \frac{10}{5} + 4 = 2 + 4 = 6 \][/tex]
The LHS is 6, which does not equal the RHS of 10.
Result: The value [tex]\( x = 5 \)[/tex] is not a solution to the equation.
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.