Answer:
The system has no solution
Step-by-step explanation:
Encountering an incorrect mathematical statement anywhere within the solution such as
1 = 3 which of course is false
Indicates the system has no solution
9514 1404 393
Answer:
8x -3y = 33
Step-by-step explanation:
Multiply by 3 to eliminate the fraction. Then rearrange to standard form.
y +7 = 2/3(4x -6) . . . . . . . given
3(y +7) = 2(4x -6) . . . . . . . multiply by 3
3y +21 = 8x -12 . . . . . . . . eliminate parentheses
33 = 8x -3y . . . . . . . . . . add 12-3y to both sides
8x -3y = 33 . . . . . . . . . swap sides to put into standard form
_____
Standard form has mutually prime integer coefficients, the leading one being positive.
Answer:
69 420
Step-by-step explanation:
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
Answer:
2/5 or 0.4 in decimal form
Step-by-step explanation:
Only 2 parts out of 5 on the spinner is highlighted.
