X could either be 4 or 5, depending on which x the question asks. If you have to chose one answer go with 5 because it's associated with the y.
Answer:
Step-by-step explanation:
R = 9x + 8y
4 = 9x + 8*8
4 = 9x + 64
Subtract 64 from both sides
4 - 64 = 9x + 64 - 64
-60 = 9x
Divide both sides by 9
-60/9 = 9x/9
-20/3 = x
x = -6 2/3
To determine the solution of the quadratic equation, use the quadratic formula which states that,
x = ((-b +/- sqrt (b² - 4ac)) / 2a
From the equation, a = 1, b = 14, and c = 112. Substituting these to the quadratic formula,
x = <span>((-14 +/- sqrt (14² - 4(1)(12)) / 2(1) = indeterminate
Thus, the equation does not a real number solution. </span>
<span>Neighbor: 2/5(x) </span>
<span>Remainder = x - 2/5(x) = 3/5(x) </span>
<span>Cousin = 4/9 * 3/5(x) = 4/15(x) </span>
<span>x - 2/5(x) - 4/15(x) = 15 </span>
<span>x - 6/15(x) - 4/15(x) = 15 </span>
<span>x - 10/15(x) = 15 </span>
<span>(15x - 10x) = 225 </span>
<span>5x = 225 </span>
<span>x = 225/5 = 45 </span>
<span>Therefore, he made 45 rolls</span>