Answer:
x = 1/2 y = -1/3
Step-by-step explanation:
Split it into 2 equations:
10x-9y=8
and
21y+15x=0.5
10x - 9y = 8
Step 1: Divide both sides by 10:
x = (8+9y)/(10)
Substitute x = (8+9y)/(10) into 21y+15x=0.5 :
21y + (3(8+9))/(2) = 0.5
Solve for y
<u>y= -1/3</u>
Substitute y= -1/3 into x = (8+9y)/(10)
<u>x = 1/2</u>
<u />
Answer:
The sale price was 60% of the purchase price.
Step-by-step explanation:
Given that Blake bought a motorcycle for $ 550 last year and sold it for $ 330 this year, to determine what is his sale price as a percentage of his purchase price, the following calculation must be performed:
550 = 100
330 = X
330 x 100/550 = X
33000/550 = X
60 = X
Therefore, the sale price was 60% of the purchase price.
Answer:
0
Step-by-step explanation:
Given the points J (1,-10) and K (7, 2)
From the section formula
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.
Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
