The first statement means:
b=i+12,
The third statement means:
b-3=4(i-3),
b-3=4i-12
b=4i-9
Using the value for b from the first statement in the third statement gives you:
i+12=4i-9
-3i=-21
i=7: and since b=i+12
b=19
So Ben is 19 and Ishaan is 7.
Hope this helps you with your questions.
If points f and g are symmetric with respect to the line y=x, then the line connecting f and g is perpendicular to y=x, and f and g are equidistant from y=x.
This problem could be solved graphically by graphing y=x and (8,-1). With a ruler, measure the perpendicular distance from y=x of (8,-1), and then plot point g that distance from y=x in the opposite direction. Read the coordinates of point g from the graph.
Alternatively, calculate the distance from y=x of (8,-1). As before, this distance is perpendicular to y=x and is measured along the line y= -x + b, where b is the vertical intercept of this line. What is b? y = -x + b must be satisfied by (8,-1): -1 = -8 + b, or b = 7. Then the line thru (8,-1) perpendicular to y=x is y = -x + 7. Where does this line intersect y = x?
y = x = y = -x + 7, or 2x = 7, or x = 3.5. Since y=x, the point of intersection of y=x and y= -x + 7 is (3.5, 3.5).
Use the distance formula to determine the distance between (3.5, 3.5) and (8, -1). This produces the answer to this question.
To solve this we have to work backwards.
start with -7 and add 12 to it to undo the first move

now take 5 and multiply by 5 to undo the last move

check our work:
Answer:
1/12
Step-by-step explanation:
3/4 + -2/3
Get a common denominator of 12
3/4 *3/3 - 2/3 *4/4
9/12 - 8/12
1/12