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3 years ago

Find the x- and y-intercepts of the line x - 3y= -9

Mathematics

2 answers:

sveta [45]3 years ago

4 0

Answer:

Choice D is correct answer.

Step-by-step explanation:

given equation is x-3y=-9

Firstly, we have to find x-intercept.

To find x-intercept, put y=0 in the given equation.

x-3(0)=-9

x-0=-9

x=-9

Hence, x-intercept is (-9,0).

Secondly we have to find y-intercept.

To find y-intercept, put x=0 in the given equation.

0-3y=-9

-3y=-9

Multiplying by -1/3 on both side of above equation, we get

(-1/3)(-3y)=-1/3)(-9)

y=3

Hence, y-intercept is (0,3).

forsale [732]3 years ago

3 0

Answer:

Step-by-step explanation:

To find the intercepts, that is where the line crosses the x and y axes

• Let x = 0, in the equation for y-intercept

• Let y = 0, in the equation for x- intercept

x = 0 : - 3y = - 9 ⇒ y = 3 ⇒ (0, 3) ← y- intercept

y = 0 : x = - 9 ⇒ (- 9, 0 )← x- intercept

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ddd [48]

3996 + 7899 = 11895

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3 years ago

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patriot [66]

Answer:

$(\frac{1}{6}, \frac{1}{2})$ or $(0.167,0.5)$

Step-by-step explanation:

Given

$3x + y =1$

$15x + y = 3$

Required

Determine the solution

We'll solve using elimination method.

Subtract the first equation from the second:

$15x + y = 3$

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$--------$

$15x - 3x + y - y = 3 - 1$

$15x - 3x = 3 - 1$

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Make x the subject:

$x = \frac{2}{12}$

$x = \frac{1}{6}$

$x =0.167$

Substitute $\frac{1}{6}$ for x in the first equation

$3x + y =1$

$3(\frac{1}{6}) + y = 1$

$\frac{1}{2} + y = 1$

Make y the subject

$y = 1 -\frac{1}{2}$

$y = \frac{2-1}{2}$

$y = \frac{1}{2}$

$y = 0.5$

Hence, the solution is:

$(\frac{1}{6}, \frac{1}{2})$ or $(0.167,0.5)$

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2 years ago

A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through

Zarrin [17]

ANSWER

$x = 4$

and

$y = - 1$

EXPLANATION

Line s has equation:

y=x-5

And line t has equation:

$y = - \frac{3}{4}x + 2$

We equate the two equations to get:

$x - 5 = - \frac{3}{4} x + 2$

Multiply through by 4

$4x - 20 = - \frac{3}{4} x \times 4 + 2 \times 4$

$4x - 20 = - 3 x + 8$

$4x + 3x = 8 + 20$

7x=28

$x = \frac{28}{7} = 4$

$y = 4 - 5 = - 1$

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3 years ago

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Ryan made 4 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 4 necklaces w

Monica [59]

Write an equation to show all elements:

Cost of 4 lots of b (beads) + cost of 4p (pendants) = $18.80

Put values in;
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3 years ago

16. Solve for C: 6c - 1 - 4c = -49

lesantik [10]

Answer:

c = -24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Step-by-step explanation:

Step 1: Define

6c - 1 - 4c = -49

Step 2: Solve for c

Combine like terms: 2c - 1 = -49
Isolate c term: 2c = -48
Isolate c: c = -24

7 0

2 years ago