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shutvik [7]
3 years ago
15

Solve 5x-3y =1, 3x-y=5.

Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

Below in bold.

Step-by-step explanation:

5x - 3y = 1

3x- y = 5                    Multiply this equation by -3:

-9x + 3y = -15            Now add this equation to the first equation:

-4x = -14

x = -14/-4 = 3.5.

Now substitute for x in equation 1:

5(3.5) - 3y = 1

-3y = 1 - 17.5

-3y = -16.5

y = 5.5.

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Answer:

Step-by-step explanation:

total money = $2.25 = 225 cents

types of denomination in coins or cents are dimes and nickels

dime = 10 cents , nickel = 5 cents

twice of dimes to nickels

let no of dimes = x and no of nickels = y

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kobusy [5.1K]

Answer:

A. (0, 1) and (2, -2)

B. Slope (m) = -³/2

C. y + 2 = -³/2(x - 2)

D. y = -\frac{3}{2}x + 1

E. \frac{3}{2}x + y = 1

Step-by-step explanation:

A. Two points on the line from the graph are: (0, 1) and (2, -2)

B. The slope can be calculated using two points, (0, 1) and (2, -2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{2 - 0} = \frac{-3}{2} = -\frac{3}{2}

Slope (m) = -³/2

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (2, -2), and m = -³/2 into the point-slope equation, y - b = m(x - a).

Thus:

y - (-2) = -³/2(x - 2)

y + 2 = -³/2(x - 2)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y + 2 = -³/2(x - 2)

2(y + 2) = -3(x - 2)

2y + 4 = -3x + 6

2y = -3x + 6 - 4

2y = -3x + 2

y = -3x/2 + 2/2

y = -\frac{3}{2}x + 1

E. Convert the equation in (D) to standard form:

y = -\frac{3}{2}x + 1

\frac{3}{2}x + y = 1

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3 years ago
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