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andriy [413]
2 years ago
9

Solve the following system of equations by linear combination: 3x+2y=7 y=x-4

Mathematics
2 answers:
ki77a [65]2 years ago
4 0
Answer : (3,-1) Hoped this helped :)
Hitman42 [59]2 years ago
3 0
\left \{ {{3x+2y=7} \atop {y=x-4}} \right.

Express y from first equation:
2y=7-3x
y=\frac{7-3x}{2}

Then, replace y in second equation with found value and solve it:
\frac{7-3x}{2}=x-4
7-3x=2x-8
5x=15
x=15/5=3

Now, replace x in first equation with found value and solve it too:
3*3+2y=7
9+2y=7
2y=-2
y=-2/2=-1

So the result is: x=3 and y=-1

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Step-by-step explanation:

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What Is the solution for the equatlon 6x - 8 = 4X? X=<br> (Input whole number only).
dem82 [27]

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x = 4

Step-by-step explanation:

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3 years ago
1. Dr. Stats plans to toss a fair coin 10,000 times in the hope that it will lead him to a deeper
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3 0
3 years ago
Read 2 more answers
The Arthur Company manufactures kitchen utensils. The company is currently producing well below its full capacity. The Benton Co
icang [17]

Answer:

The increase in Arthur's operating profits would be <u>$1120</u>.

Step-by-step explanation:

Given:

The Arthur Company manufactures kitchen utensils. The company is currently producing well below its full capacity. The Benton Company has approached Arthur with an offer to buy 16,000 utensils at $0.70 each. Arthur sells its utensils wholesale for $0.80 each; the average cost per unit is $0.78, of which $0.15 is fixed costs.

If Arthur were to accept Benton's offer.

Now, to find the increase in Arthur's operating profits.

The average cost per unit = $0.78.

The fixed costs = $0.15.

So, to get the variable cost we subtract the fixed cost from the average cost per unit:

0.78-0.15=0.63.

Thus, the variable cost is $0.63.

As, the Benton Company has approached Arthur with an offer to buy 16,000 utensils at $0.70 each.

So, to get the profit per unit we subtract $0.70 from the variable cost:

0.70-0.63=\$0.07.

Profit per unit = $0.07.

Number of utensils = 16,000.

Now, to get the total profit we put formula:

<u><em>Total profit = Number of utensils × Profit per unit.</em></u>

Total\ profit=16,000\times 0.07\\\\ Total\ profit=\$1120.

Therefore, the increase in Arthur's operating profits would be $1120.

4 0
3 years ago
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