The equation is solved and the two numbers are x = 7 and y = 12
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let's call the first number "x" and the second number "y"
x = y - 5 (the first number is 5 less than the second number)
2y = 4x - 4 (twice the second number is 4 less than 4 times the first)
We can use substitution to solve for one of the variables.
Substituting the first equation into the second equation, we get:
2y = 4 (y - 5) - 4
Simplifying this equation , we get
2y = 4y - 24
2y - 4y = -24
-2y = -24
y = 12
Now that we know that the second number is 12, we can use the first equation to find the first number:
x = y - 5
x = 12 - 5
x = 7
Hence , the two numbers are 7 and 12
To learn more about equations click :
#SPJ2
Answer:
9 and 14
Step-by-step explanation:
One number is 5 less than a second number.
a = b - 5
:
Twice the second number is 8 less than 4 times the first.
2b = 4a - 8
replace a with (b-5)
2b = 4(b-5) - 8
2b = 4b - 20 - 8
2b - 4b = -28
-2b = -28
b = 14
then
a = 9
b. $6
c. $8
d. $10
To calculate a 15% tip on a $38.70 meal, multiply the total cost by 15 and divide by 100, giving approximately $6. The closest option available is $6.
To calculate the tip that Harry should leave based on 15 percent of the total cost, we can use the formula:
Tip = Total Cost x Tip Percent/100
Where:
Total Cost = $38.70 (ignoring any taxes),
Tip Percent = 15.
Substituting these values into the formula, we find:
Tip = $38.70 x 15/100 which equals $5.805, therefore, the nearest answer to that would be option b: $6.
#SPJ1