Answer: x1 = 251/26, x2 = -111/26
Step-by-step explanation:
Greetings!
As illustrated in the diagram, the point you seek is where the two lines intersect.
This intersection point is found by solving the system of linear equations (both equations must be satisfied by the point):
You can approach solving it using the substitution method:
Then substitute x1 into equation 2 to resolve x2:
After which, utilize the x2 value to establish x1:
8/9 -----\ 8 -------\ 9 8.0.8 -------\ 9 80 -72 ------- 8 This procedure would continue indefinitely, so the answer is.8888888 repeating. Therefore, the result is 1 and 1/9 or 1.
1,680 grams
To determine this, we can set up a proportion as follows:
grams/people=grams/people
The recipe requires 480 grams for 4 individuals and we need to find how many grams (x) are necessary for 14 individuals.
480 grams/4 people=x grams/14
480/4=x/14
Now, let's isolate x, the grams necessary for 14 people. Currently, x is divided by 14, so we will multiply both sides by 14 as multiplication is the inverse of division.
14(480/4)=(x/14)14
14(480/4)=x
14*120=x
1680=x
Thus, she requires 1,680 grams of couscous to serve 14 individuals.
If Ralph allocated $180 rather than the intended $175 for entertainment, he spent $35 for each date and let's denote "x" as the number of dates he attended. He also spent $15 when going out with friends, where "y" represents his outings with friends.
The accurate equation is "B" which is 35x + 15y = 180.
