Ok so a dependent variable is one that depends on the other one
Answer:
x=2y-8
We use the substitution of x in the second equation
2*(2y-8)+3y= -2
4y-16+3y=-2
7y-16= -2
7y= -2 +16
7y=14
y=14Ș7
y=2
so x= 2*2 -8
x=4-8
x=-4
the solution is (x,y)=(-4, 2)
Step-by-step explanation:
Answer:
![\large\boxed{f^{-1}(x)=\dfrac{1}{5}x+\dfrac{8}{5}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D%5Cdfrac%7B1%7D%7B5%7Dx%2B%5Cdfrac%7B8%7D%7B5%7D%7D)
Step-by-step explanation:
![f(x)=5x-8\to y=5x-8\\\\\text{change}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=5y-8\\\\\text{solve for}\ y:\\\\5y-8=x\qquad\text{add 8 to both sides}\\\\5y-8+8=x+8\\\\5y=x+8\qquad\text{divide both sides by 5}\\\\\dfrac{5y}{5}=\dfrac{x}{5}+\dfrac{8}{5}\\\\y=\dfrac{1}{5}x+\dfrac{8}{5}](https://tex.z-dn.net/?f=f%28x%29%3D5x-8%5Cto%20y%3D5x-8%5C%5C%5C%5C%5Ctext%7Bchange%7D%5C%20x%5C%20%5Ctext%7Bto%7D%5C%20y%5C%20%5Ctext%7Band%20vice%20versa%7D%5C%5C%5C%5Cx%3D5y-8%5C%5C%5C%5C%5Ctext%7Bsolve%20for%7D%5C%20y%3A%5C%5C%5C%5C5y-8%3Dx%5Cqquad%5Ctext%7Badd%208%20to%20both%20sides%7D%5C%5C%5C%5C5y-8%2B8%3Dx%2B8%5C%5C%5C%5C5y%3Dx%2B8%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%205%7D%5C%5C%5C%5C%5Cdfrac%7B5y%7D%7B5%7D%3D%5Cdfrac%7Bx%7D%7B5%7D%2B%5Cdfrac%7B8%7D%7B5%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7B1%7D%7B5%7Dx%2B%5Cdfrac%7B8%7D%7B5%7D)
Answer:
Step-by-step explanation:
y-6=-7(x-3)
Answer:
10
Step-by-step explanation:
Use the number line and count how many numbers from 7 until you get to -3