Answer: The answer is the square root of 5.
Step-by-step explanation:
Answer:
x = all real numbers
Step-by-step explanation:
first you need to solve the first equation to figure out what y is.
4x - y = 2
<em>add y to both sides of the equation</em>
4x = 2 + y
s<em>ubtract 2 from both sides of the equation</em>
4x - 2 = y
now that you know what y is, you can substitute it in the next equation.
3y = 12x - 6
3(4x - 2) = 12x - 6
<em>open the parenthesis </em>
12x - 6 = 12x - 6
<em>subtract 12x from both sides of the equation</em>
-6 = -6
regardless of what x is, -6 will always equal -6.
so, the answer is all real numbers.
The least common denominator for the fractions 5/6 and 3/8 is 24. 6 x 4 = 24, 8 x 3 = 24.
Lets call those two unknown numbers a, b and write the info in the problem as equations:
a*b = 30
a + b = 40
lets solve for a in the second equation and substitute in the first:
<span>a + b = 40
</span>a = 40 - b
therefore:
<span>a*b = 30
</span>(40 - b)b = 30
40b - b^2 = 30
b^2 - 40b + 30 = 0
if we apply the general quadratic equation to solve we have:
b = (40 +- √(1600 - 120))/2
b = (40 +- √(1480<span>))/2
</span>b = (40 +- 38.47)/2
There are two solutions:
<span>b1 = (40 + 38.47)/2
</span><span>b1 = 39.24
b2 = (40 - 38.47)/2
</span>b2 = 0.765
lets use the second solution <span>b2 = 0.765, and substitute in the first equation to find a:
</span><span>a*b = 30
</span>a*0.765 = 30
a = 30/0.765
a = 39.216
so the numbers are 39.216 and 0.765
