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VLD [36.1K]
3 years ago
8

Solve the system of equations by using substitution.

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

y = 2x +3  ----(1) \\\\y =  x + 2 ----(2)\\\\substitute \ (2) \ in \ (1) : x + 2 = 2x + 3

x - 2x = 3 - 2\\\\-x = 1\\\\x = -1\\\\Substitute \ x = -1 \ in  \ (2) : y = -1 + 2 => y = 1

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Brian wants to ship three medium sized boxes. Two companies offer different rates.
lions [1.4K]

Answer:

Step 4

Step-by-step explanation:

Bryan wants to ship three medium-sized boxes. Two companies offer different rates.

Company Rate

A

$14.65 per box

B

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Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?

8 0
2 years ago
Tomic and Brooke make a game of shooting free throws. Each basket is worth 2.5 point.Each miss is worth - 0.75 points.Out of 30
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3 0
3 years ago
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A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs
tatyana61 [14]

Answer:

The system  that represent the scenario is

x+y\leq500

215x+615y\leq 187,500

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the acres of corn

y----> the acres of cotton

we know that

x+y\leq500 ------> inequality A

215x+615y\leq 187,500 -----> inequality B

using a graphing tool

the solution is the shaded area in the attached figure

8 0
3 years ago
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What is true about the relationship between alternate interior angles?
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3 years ago
Which equation represents the graph shown?<br> (Picture attached)
Maurinko [17]

Answer:

correct answer is option B

Step-by-step explanation:

as we know equation of line

       y = m x + c....................(1)

where c is the intercept

m is the slope

m = \dfrac{y_2-y_1}{x_2-x_1}

m = \dfrac{35-0}{1-0}

m = 35

putting value of m in equation (1)

we get

y = 35 x + c

from the graph we can clearly see that line is passing through (0,0) hence

0 = 35 (0)x + c

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hence the equation of line comes out to be

y = 35 x

correct answer is option B

8 0
3 years ago
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