Answer:
She makes 7.50 per hour
Step-by-step explanation:
Let x = regular rate
Time and a half = 1.5x
40 hours at x
52-40 = 12
12 hours at 1.5x
40x + 12 * 1.5x = 435
40x + 18x =435
58x = 435
Divide each side by 58
58x/58 = 435/58
x =7.5
She makes 7.50 per hour
Your picture shows the first step: use the distributive property to eliminate parentheses.
5*7 -5*x = 2*x -3
Now, you have an equation with a constant and an x-term on each side. I like to pick the x-term with the smallest (most-negative) coefficient and add its opposite to the equation.
Adding 5x, we have
35 = 7x -3
Adding 3 will get the x-term on one side and the constant on the other
38 = 7x
Now, we divide by the coefficient of x
38/7 = x = 5 3/7
This is the correct answer, even though it is not an integer.
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Check
5(7 -(5 3/7)) = 2(5 3/7) -3 . . . . substitute for x in the original equation
5(1 4/7) = 10 6/7 -3 . . . . . . . . . evaluate the parentheses on the left, do the multiplication on the right
5 20/7 = 7 6/7 . . . . . . . . . . . . do the multiplicaton on the left, the subtraction on the right
5 +2 6/7 = 7 6/7 . . . . . . . . . . . rewrite 20/7, realize 5+2=7. true
The 2nd bottom one is a function
Answer:
<h2>(55/27, 32/9)</h2>
Step-by-step explanation:
The system of equations is
The first step is to arrange like terms in colums, which is already done.
Then, we need to multiply a number by one equation in such way where we get opposite like terms. Notice that we need to multiply the first equation by -1
Then, we sum equations to obtain the value of one variable.
Now, we use this value to find the second variable
Therefore, the solution is (55/27, 32/9).
(The image attached shows the graphic solution)
