The solution (x,y) needs to work in both equations. With multiple choice you can do guess and test method. Otherwise you need to combine the two equations into one by substitution or elimination methods.
21. substitution works well here since one equation is y= x+3. you can easily substitute the (x+3) for y in the other equation.
2x + (x+3) = -6
3x + 3 = -6
3x = -9
x = -3
use this in either equation to find y.
y = (-3)+3
solution: (-3,0)
22. these both equal y so they equal each other.
4x - 1 = 3x +6
4x - 3x = 6 + 1
x = 7
use this in either equation to find y
y = 4(7) - 1
y = 28 - 1
y = 27
solution: (7,27)
23. one equation is y = 2x - 3. So substitute (2x -3) for y in the other equation.
4x = 2(2x - 3) + 6
4x = 4x - 6 + 6
4x = 4x
x = x
any solution will work, infinitely many.
24. infinitely many solutions means the two equations are the same equation. Like the previous one they didn't look the same but if you put them both in terms of y...
y= 2x-3
4x = 2y + 6
4x - 6 = 2y
(4x - 6)/2 = y
2x - 3 = y
same equation.
from the image, I can't see all options but A & C do not look like the same equations. It's got to be either B or D.
<span>Phil and Matt made cookies for a fundraiser at their high school. Phil worked more than Matt. Phil production was 25% more than Matt production. Matt was behind on the quantity made by Phil. The cookies sold for $0.25 each. After the sale, 20% of the combined production of their cookies remained.</span>
Answer:
12½% 0.125 1/8
Step-by-step explanation:
Lmn, nml, i cant do any less or it wont submit
Answer: C. 0.3
Step-by-step explanation:
<em>To convert 1/3 so you can write it as a decimal, simply divide the numerator by the denominator, like this:</em>
<em></em>
<em>= 1/3</em>
<em>= 1 ÷ 3</em>
<em>≈ 0.3333333</em>
<em></em>
<em>Therefore, the solution to 1/3 as a decimal is as follows:</em>
<em></em>
<em>1/3 ≈ 0.3333333</em>
