Answer:
-5.44
Step-by-step explanation:
multiply add negative sign
Answer:
A) x = − 1, y = 2, z = 3
Step-by-step explanation:
4x − 2y + 3z = 1
x + 3y − 4z = −7
3x + y +2z = 5
Lets eliminate x by multiplying the second equation by -4
4x − 2y + 3z = 1
-4x - 12y + 16z = 28
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-14y +19z = 29
Lets eliminate x by multiplying the second equation by -3
-3x + -9y +12z = 21
3x + y +2z = 5
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-8y +14z =26
We now have 2 equations and 2 unknowns
-14y +19z = 29
-8y +14z = 26 Divide this by 2 = -4y +7z = 13
Multiplying the first equation by 4 and the second by -14
-56y +76z =116
56y -98z = -182
----------------------------
-22z =-66
Divide each side by -22
-22z/-22 = -66/-22
z=3
Now we need to find y
-14y +19z = 29
-14y +19(3) =29
-14y+ 57 = 29
-14y =29-57
-14y =-28
y =2
Now we need to find x
x + 3y − 4z = −7
x + 3(2) -4(3) =-7
x+6 -12 =-7
x-6 = -7
x = -1
Let’s start with “five more than a number x.” This translates to:
x + 5
This is “less than” 17, so we insert the corresponding symbol and add 17 to the right side of the equation:
x + 5 < 17
This is the translation of the inequality. Now we have to solve it. To do so, simply subtract 5 from both sides of he equation:
x + 5 ( – 5 ) < 17 ( – 5 )
x < 12
This is the solution to the translated inequality.
I hope this helps!
The gross receipts would include the sales profit and the sales tax. We let sales profit be the variable x. The equation we can make from the word problem would be
Gross profit = x + 0.03x = <span>$3554.53
The sales tax is taken as the percentage of the total sales profit. Solving for x,
1.03x = </span>3554.53
x = 3554.53/1.03
x = $3451
The sales tax is equal to
Sales tax = 0.03($3451) = $103.53
It's 8.00 + 0.09 + 0.07 = 8.97
