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Scrat [10]
3 years ago
7

Solving linear equations

Mathematics
1 answer:
AlexFokin [52]3 years ago
4 0

Answer:

(x, y ) = ( \frac{1}{2}, \frac{5}{2})

Step-by-step explanation:

given the 2 equations

4x + 2y = 7 → (1)

y = 5x → (2)

Substitute y = 5x into equation (1)

4x + 2(5x) = 7

4x + 10x = 7

14x = 7 ( divide both sides by 14 )

x = \frac{7}{14} = \frac{1}{2}

substitute this value into equation (2)

y = 5 × \frac{1}{2} = \frac{5}{2}


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Victor was having a hard time deciding which new vehicle he should buy. He decided to make the final decision based on the gas e
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Answer:

Victor should buy Legend because it has a better unit rate

<em></em>

Step-by-step explanation:

See attachment for complete question.

To determine which car has more gas efficiency, we have to calculate the slope of each car.

Vehicle 1: Legend

Take any two corresponding points from the table

(x_1,y_1) = (4,72)

(x_2,y_2) = (12,216)

The slope is then calculated using;

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

m = \frac{216 - 72}{12 - 4}

m = \frac{144}{8}

m = 18

<em>This implies that this vehicle (legend) travels 18 miles per gallon of gas</em>

Vehicle 2: Supreme

Take any two corresponding points from the graph

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(x_2,y_2) = (15,250)

The slope is then calculated using;

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

m = \frac{250 - 0}{15 - 0}

m = \frac{250}{15}

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This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas

<em>Base on the calculations above, Victor should buy Legend because it has a better unit rate</em>

6 0
2 years ago
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The CD account balance is 722 after the first year and increases by $22 each year. The function rule is a linear function with a y-intercept of 700 and a slope of $22 per year.

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