Tell me if the answer is true or wrong
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.
Answer:
$41.25
Step-by-step explanation:
We can use this formula to solve this problem:
s
=
p
−
(
d
×
p
)
Where:
s
is the sales price: what we are solving for in this problem.
p
is the original price: $55 for this problem.
d
is the discount rate: 25% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 25% can be written as
25
100
.
Substituting and calculating
s
gives:
s
=
$
55
−
(
25
100
×
$
55
)
s
=
$
55
−
$
1375
100
s
=
$
55
−
$
13.75
s
=
$
41.25
Answer:
Step-by-step explanation:
Answer:
area = 10 units ^2
Step-by-step explanation:
rectangular area = 2x2 = 4
left side triangle area = 2x2x0.5 = 2
right side triangle area = 4x2x0.5 = 4
4+2+4 = 10
