Answer:
the answer is the first one
2x + 5y = 26....multiply by 3
3x + 4y = 26...multiply by -2
------------------
6x + 15y = 78 (result of multiplying by 3)
-6x - 8y = - 52 (result of multiplying by -2)
-----------------add
7y = 26
y = 26/7 (or 3 5/7)
2x + 5y = 26
2x + 5(26/7) = 26
2x + 130/7 = 26
2x = 26 - 130/7
2x = 182/7 - 130/7
2x = 52/7
x = 52/7 * 1/2
x = 52/14 which reduces to 26/7 (or 1 5/7)
solution is : (26/7, 26/7)
Answer: Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y3" was replaced by "y^3". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(23x2 • y3) - 5
STEP
2
:
Trying to factor as a Difference of Cubes
2.1 Factoring: 8x2y3-5
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check : 8 is the cube of 2
Check : 5 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
Final result :
8x2y3 - 5
3x³×y²×12x²×y×z=36x⁵×y³×z
This will involve finding an arctangent.
We'll consider the woman's height as the "opposite" side of a triangle and the shadow as the "adjacent" side. The angle that the Sun makes equals the arc tangent of that angle.
tan (Sun's angle) = 71" / 36"
tan (Sun's angle) =
<span>
<span>
<span>
1.9722222222
</span>
</span>
</span>
when we determine the arc tangent of 1.9722222222, it will equal the Sun's angle.
arc tangent of 1.9722222222 = 63.113 degrees
