Answer:
m = 10
Step-by-step explanation:
According to the picture attached, we can see the angles formed.
The angle on the top (5m+100) is sided with the angle 2m+10. This means that they are supplementary angles, their sum is 180°.
So,
5m+100+2m+10 = 180
5m+2m=180-100-10
7m = 70
m = 10
We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:
Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:
Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:
Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:
Step 4: solve for z, then for y, then for x:
By substituting into the first equation, we get the
. So: