2 / 10 = 20 / 100.
So 2 /10 + 2 / 10 = 4 / 10.
Simplify that to 2 / 5.
Hello!
![\large\boxed{x = 1, y = 2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%20%3D%201%2C%20y%20%3D%202%7D)
We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)
Hello there!
The correct answer is option B (-3,3)
-3x - y = 6
-3(-3) - 3 = 6
9 - 3 = 6
6 = 6
Thus, the correct answer is option B
Good luck with your studied!
Each person has to give 3 hand shakes.
(1•3)3 = 9
Or
3(3) = 9
Hope this helps
Hey!
To solve x in this equation we must first add five to both sides to get
![\sqrt{x}](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20)
on its own.
<em>Original Equation :</em>
![\sqrt{x} - 5 = x - 11](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20-%205%20%3D%20x%20-%2011)
<em>New Equation {Added 5 to Both Sides} :</em>
![\sqrt{x} =x-6](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20%3Dx-6)
Now we must square both sides of the equation.
<em>Old Equation :</em>
![\sqrt{x} =x-6](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20%3Dx-6)
<em>New Equation {Changed by Squaring Both Sides} :</em>
![x= x^{2} -12x+36](https://tex.z-dn.net/?f=x%3D%20x%5E%7B2%7D%20-12x%2B36)
And now we must solve the new equation.
Step 1 - Switch sides
![x^{2} -12x+36=x](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-12x%2B36%3Dx)
Step 2 - Subtract x from both sides
![x^{2} -12x+36-x=x-x](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-12x%2B36-x%3Dx-x)
Step 3 - Simplify
![x^{2} -13x+36=0](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-13x%2B36%3D0)
Now we need to solve the rest of the equation using the quadratic formula.
![\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-%28-13%29%2B%20%5Csqrt%7B%28-13%29%20%5E%7B2%7D-4%2A1%2A36%20%7D%20%7D%7B2%2A1%7D%20)
![{13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}](https://tex.z-dn.net/?f=%7B13%2B%20%5Csqrt%7B%28-13%29%5E%7B2%7D-4%2A1%2A36%20%7D%3D13%2B%20%5Csqrt%7B25%7D)
![\frac{13+ \sqrt{25}}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%2B%20%5Csqrt%7B25%7D%7D%7B2%7D%20)
![\sqrt{25}=5](https://tex.z-dn.net/?f=%20%5Csqrt%7B25%7D%3D5%20)
![\frac{13+5}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%2B5%7D%7B2%7D%20)
![\frac{18}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B18%7D%7B2%7D%20)
9
![\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-%28-13%29-%20%5Csqrt%7B%28-13%29%20%5E%7B2%7D%20-4%2A1%2A36%7D%20%7D%7B2%2A1%7D%20)
4
<em>So, this means that in the equation
![\sqrt{x} -5=x-11](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20-5%3Dx-11)
,</em>
x = 9 <em>and </em>
x = 4.Hope this helps!
- Lindsey Frazier ♥