Answer:
x=-2
y=9
Step-by-step explanation:
3=y+3x ---- A
-x+3y=29 ----B
step 1. rearrange equation A, so you have the "y" variable on one side
3=y+3x
-3x -3x
3-3x=y
y=3-3x ---- C
step 2. Substitute equation C into equation B in place of "y"
-x+3(3-3x)=29 ---foil
-x+9-9x=29 -- collect like terms
-10x+9=29
-9 -9
-10x=20
÷-10 ÷-10
x=-2
Step 3. Substitute x=-2 into equation C to find y
y=3-3(-2)
y=3+6
y=9
Check you answer by subsituting x=-2 and y=9 back into equation A and B
Answer:
Step-by-step explanation:
Convert the mixed number to the fraction:
METHOD 1:
METHOD 2:
Answer:
q=-3 2/5
Step-by-step explanation:
First multiply -13 with (q+4)
-13q-52=7q+16
Now you have to change the order before = the numbers with q and after = the numbers without anything
-13q-7q=52+16
Remember that when you change positions the symbol too
Then solve it
-20q=68
Now u have to divide as i do
q=68/-20
you can simplify it
q=3 8/-20
Now divide by the greater divisor in this case is 4
q=3 2/-5
And organize it
q=-3 2/5
Never forget to do q=(answer)
Hopefully it helps.
To determine the cost of manufacturing one picture frame, add all the known cost by the number of frames produced. With the basis of one hour of operation,
Cost of wood per frame = $18.75 / 15 = $1.25
Cost of direct labor per frame = $ 13.50 / 65 = $ 0.21
Adding all up the costs,
total cost = $1.25 + $0.21 = $1.46
Therefore, manufacturing one picture frame costs approximately $1.46.
