Answer:
1. The two numbers are 4 and 8.
Step-by-step explanation:
1) variables: x and y
2) x + y = 12, y - x = 4
3) graph using desmos or another graphing calculator
4) the solution is x = 4, y = 8, or 4 and 8. This means that 4 and 8 can be added to equal 12, and the difference between them is 4.
Answer:
a:3,11
Step-by-step explanation:
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.
To find the slope, you use the following formula:<span> ;
Then, m = ( 8 - 9 ) / ( 6 - 9 ) ;
m = ( - 1 ) / ( - 3 ) ;
m = 1 / 3 ;</span>
9514 1404 393
Answer:
(x, y) = (61/23, 36/23)
Step-by-step explanation:
We assume you intend the equations to be ...
Then in general form, they are ...
5x -4y -7 = 0
2x +3y -10 = 0
The solution using the "cross multiplication method" is ...
1/(15 +8) = x/(40+21) = y/(-14 +50)
(x, y) = (61/23, 36/23)
_____
<em>Comment on "cross multiplication method"</em>
When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...
the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.
- d1 = (5)(3) -(2)(-4)
- d2 = (-4)(-10) -(3)(-7)
- d3 = (-7)(2) -(-10)(5)