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Naya [18.7K]
3 years ago
13

Translate the following sentences into a equation, then solve the equation.

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0

Answer:

Step-by-step explanation:

Let the two numbers be x and y

x = y - 5......(1)

2y = 3x.......(2)

Putting (1) into (2)

2y = 3(y - 5)

2y = 3y - 15

Collecting like terms

2y - 3y = -15

-y = -15

y = 15

Putting y = 15 in (1)

x = y - 5

x = 15 - 5

x = 60

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Find the equation of the straight line through (–2, 3) perpendicular<br> to 2x + y =8
Thepotemich [5.8K]

Answer:

y = \dfrac{1}{2}x + 4

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The line we need is perpendicular to the line 2x + y = 8.

<em>The slopes of perpendicular lines are negative reciprocals.</em>

We solve the given equation for y to find the slope of the given line.

2x + y = 8

y = -2x + 8

The given line has slope -2.

The negative reciprocal of -2 is 1/2.

Our line has slope, m = 1/2.

Now we have

y = 1/2 x + b

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b = 4

Now we have

y = 1/2 x + 4

Answer: y = \dfrac{1}{2}x + 4

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