Answer: ![x=12](https://tex.z-dn.net/?f=x%3D12)
Step-by-step explanation:
are the equations that you've given us.
Now if we plot these two equations on the graph we notice there's an intersection at (12,162). Therefore meaning that
.
We can prove that by doing the following calculations to prove that both sides are equal to each other.
<em>The left side of the equal sign</em>:
Step 1: Write the equation down:
![16x-30](https://tex.z-dn.net/?f=16x-30)
Step 2: Substitute x for the numerical value we found.
![16(12)-30](https://tex.z-dn.net/?f=16%2812%29-30)
Step 3: We will multiply
first, giving us 192.
![192-30](https://tex.z-dn.net/?f=192-30)
Step 4: Subtract 192 from 30. Which gives us 162.
![162](https://tex.z-dn.net/?f=162)
<em>The right side of the equal sign</em>:
Step 1: Write the equation down:
![14x-6](https://tex.z-dn.net/?f=14x-6)
Step 2: Substitute x for the numerical value we found.
![14(12)-6](https://tex.z-dn.net/?f=14%2812%29-6)
Step 3: We will multiply
first, giving us 168.
![168-6](https://tex.z-dn.net/?f=168-6)
Step 4: Subtract 168 from 6. Which gives us 162.
![162](https://tex.z-dn.net/?f=162)
We know that
because when substituting x with 12, we get 162 on both sides. Therefore making this statement <u>true and valid</u>.
![162=162](https://tex.z-dn.net/?f=162%3D162)