Answer:
x = 73/12
Step-by-step explanation:
Given:
![\displaystyle \large{12(x-7)=-11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B12%28x-7%29%3D-11%7D)
Distribute 12 in x-7:
![\displaystyle \large{12x-84=-11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B12x-84%3D-11%7D)
Add both sides by 84:
![\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B12x-84%2B84%3D-11%2B84%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7B12x%3D73%7D)
Divide both sides by 12:
![\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%5Cdfrac%7B12x%7D%7B12%7D%3D%5Cdfrac%7B73%7D%7B12%7D%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7Bx%3D%5Cdfrac%7B73%7D%7B12%7D%7D)
Therefore, the solution is x = 73/12
Answer:
-35
Step-by-step explanation:
-5 x 7 = -35
The opposite of division is multiplication.
Answer:
y - 1 = -4(x - 7)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = -4
Point (7, 1)
<u>Step 2: Write Equation</u>
<em>Plug in variables into the general formula.</em>
y - 1 = -4(x - 7)
<span>12x^2 − 96x + 189 = 0
3 (2x-7) </span>(2x-9)<span>= 0
</span>2x - 7 = 0; x = 7/2 = 3.5<span>
2x - 9 =0; x = 9/2 = 4.5
answer
x = 3.5 and x =4 .5
</span>
Ax+by=c
y=x+3
subtract x from both sides
Y-x=x-x+3
Y-x=3
-1•(y-x)=-1•3
-y+x=-3
Reorder:
X-y=-3
I’m not sure if it’s 100% correct but that’s all I can do