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Mae read 122 pages per week~
-10x - 3y = -18
(1)
-7x - 8y = 11 (2)
Multiply equation (1) by 8 and equation (2) by -3
-80x - 24y = -144
(1)
21x + 24y = -33 (2)
-------------------------------Add
-59x = -177
x = 3
Plug in x = 3 into -10x-3y=-18
-10(3) -3y =-18
-30 - 3y = -18
3y = -12
y = -4
Answer
(3, - 4)
The value of the expression as described in the task content is; 11.
<h3>What is the value of the expression?</h3>
The expression as described in the task content is; 3(4 - N) +8.
However, the value of N in this scenario is; 3.
Therefore, the value of.the expression is;
3(4 - 3) +8
= 3(1) + 8
= 3+8
= 11.
Read more on value of expressions;
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Assuming that the inequality you were going for was a ≤, set both polynomials less than or equal to 0.
x - 3 ≤ 0
x + 5 ≤ 0
For the first equation add 3 to both sides of the inequality. For the second, subtract 5 from both sides.
x ≤ 3
x ≤ - 5
These would be your solutions I guess, however, if you want to expand upon that, your actual answer is (- ∞, - 5] because if you were to plot these two inequalities on a number line, that is where the overlap would occur.
Answer: 16
Solution:
1) Use letters to identify the variables:
Number of trumpets: t
Number of clarinets: c
2) Translate each statement into algebraic (mathematical) language.
2.1) Sold a total of 27 used trumpets and clarinets
=> t + c = 27
2.2) Trumpets cost $149 and clarinets cost $99
Total cost of the trumpets: 149t
Total cost of clarinets: 99c
Total cost = 149t + 99c
2.3) Total sales were $3223
=> 149t + 99c = 3223.
3) State the system of equations:
Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223
4) Solve the system of equations:
4.1) Multiply equation 1 by 149:
=> 149t + 149c = 4023
4.2) Subtract the equation (2) from the equation obtained in 4.1
=> 149c - 99c = 4023 - 3223
=> 50c = 800
=> c = 800 / 50 = 16
5) Verify the solution:
From equation (1) t = 27 - 16 = 11
Total cost = 149*11 + 99*16 = 3223
Now you have a verified answer: they sold 16 clarinets