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kodGreya [7K]
2 years ago
6

Solve the system of equations 4x + 3y = 3 and y = 2x + 6.

Mathematics
1 answer:
muminat2 years ago
8 0

Step-by-step explanation:

4x + 3y = 3

y = 2x + 6 ->

2x - y = -6

let's multiply the modified second equation by 3 and add both equations :

4x + 3y = 3

6x - 3y = -18

--------------------

10x + 0 = -15

x = -1.5

4x + 3y = 3

4×-1.5 + 3y = 3

-6 + 3y = 3

3y = 9

y = 3

and so the solution is (-1.5, 3).

which is not in the list of your answer options.

so, something must have been wrong in your problem definition.

either you changed something in the 2 equations, or subverting is missing in the answer options, or you even mixed up problem and answer options of 2 different questions.

but I also checked by using the numbers in the 2 equations, but (-1.5, 3) is indeed the correct solution for the given 2 equations.

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The graph of a proportional relationship passes through (9, 18) and (1, y). Find y.
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Answer:

2

Step-by-step explanation:

Because it's a proportional relationship and it goes through the point (9, 18) the equation is y = 2x so when x = 1, y = 2.

8 0
3 years ago
Mel Company has a net income, before taxes, of $95,000. The treasurer of the company estimates 45% of net income will have to be
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6 0
3 years ago
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2y-18x=-26 solve for y
Alekssandra [29.7K]
2y - 18x = -26

Add 18x to both sides.

2y = -26 + 18x

Divide by 2 on both sides.

y = -13 + 9x

y = 9x - 13
8 0
3 years ago
A biologist is researching the population density of antelopes near a watering hole. The biologist counts 32 antelopes within a
Setler [38]

Answer:

=0.3 per km²

Step-by-step explanation:

Population density is the population per uni area.

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A=3.14×34

=106.76km²

Population density = Population/Area

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7 0
3 years ago
Simplify <br>99=2(-7b-3)+7​
Arisa [49]

Answer:

b=-7

Step-by-step explanation:

Simplifying

99 = 2(-7b + -3) + 7

Reorder the terms:

99 = 2(-3 + -7b) + 7

99 = (-3 * 2 + -7b * 2) + 7

99 = (-6 + -14b) + 7

Reorder the terms:

99 = -6 + 7 + -14b

Combine like terms: -6 + 7 = 1

99 = 1 + -14b

Solving

99 = 1 + -14b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '14b' to each side of the equation.

99 + 14b = 1 + -14b + 14b

Combine like terms: -14b + 14b = 0

99 + 14b = 1 + 0

99 + 14b = 1

Add '-99' to each side of the equation.

99 + -99 + 14b = 1 + -99

Combine like terms: 99 + -99 = 0

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14b = 1 + -99

Combine like terms: 1 + -99 = -98

14b = -98

Divide each side by '14'.

b = -7

Simplifying

b = -7

5 0
3 years ago
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