Find the solution, given the replacement set.

1 answer:

3 0

Plug the values (x,y) into the equation and check if they satisfy the equation.

$(x,y)=(-2,-8) \\ \Downarrow \\
5 \times (-2) -2 \times (-8)=6 \\
-10+16=6 \\
6=6 \\
true \\ \\
(x,y)=(0,-3) \\ \Downarrow \\
5 \times 0 -2 \times (-3) =6 \\
0+6=6 \\
6=6 \\
true$

$(x,y)=(1,-1) \\ \Downarrow \\
5 \times 1-2 \times (-1)=6 \\
5+2=6 \\
7=6 \\
not \ true \\ \\
(x,y)=(2,4) \\
5 \times 2 - 2 \times 4=6 \\
10-8=6 \\
2=6 \\
not \ true$

$(x,y)=(4,7) \\ \Downarrow \\
5 \times 4 -2 \times 7=6 \\
20-14=6 \\
6=6 \\
true$

The ordered pairs that satisfy the equation are (-2,-8), (0,-3), and (4,7). The answer is C.

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Fifteen percent of an employee's taxable income is collected each paycheck. Before taxes are removed from each paycheck,

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Answer:

y = x [1- $\frac{15}{100}$ ]

Step-by-step explanation:

If the variable x represents the employee's pay before tax-exempt expenses and taxes are removed and y variable represents the employee's take-home pay after these deductions and if fifteen percent of an employee's taxable income is collected each paycheck, then y is given by

y = x [1- $\frac{15}{100}$ ]. (Answer)

For, example, an employee's payment is deducted by $350 at the rate of 15% tax and other deduction.

Therefore, $\frac{15x}{100}=350$ , ⇒ x = $2333.33 is the before tax income of the person.