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Mrrafil [7]
3 years ago
14

How do you solve Y = 1 - 3x; y + 4 = -3x + 5 by doing the elimination method?

Mathematics
1 answer:
zhuklara [117]3 years ago
8 0

Step-by-step explanation:1x-5y=10 13x-7y=2 ---------- The addition method is the elimination method. ... the better and the simplest way is to multiply first equation by 7 and the second equation by 5. ... You will get then an equation for "y" only, and you should solve it to get y. ...

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Write an equation of the line that passes through (4,−1) and is parallel to the line y=3x+7. (hint: NOT y=3x-13)
CaHeK987 [17]

To find the equation of the line, we are going to use the point-slope form, which is listed below:

(y - y_1) = m(x - x_1)

  • (x_1, y_1) is a point on the line
  • m is the slope of the line

You may notice that we have a point, but no slope is given to us. However, the problem states that the line is parallel to the equation y = 3x + 7, which means that it has the same slope as this line, which is 3. (Remember that this line is set up in y = mx + b form, where m is the slope)


Thus, we can now insert our values into the point-slope formula to find the equation of our line.

(y + 1) = 3(x - 4)

(y + 1) = 3x - 12

y = 3x - 13


The problem made it clear that it didn't want the form y = 3x - 13, so let's put it in standard form:

y = 3x - 13

3x - y = 13


The equation of our line is \boxed{3x - y = 13}.

8 0
3 years ago
Please answer this in two minutes
diamong [38]

Answer:

366.6 mm²

Step-by-step explanation:

Step 1: find XY using the Law of sines.

Thus,

\frac{XY}{sin(W)} = \frac{WY}{sin(X)}

m < W = 180 - (70+43) (sum of angles in a triangle)

W = 180 - 113 = 67°

WY = 24 mm

X = 43°

XY = ?

\frac{XY}{sin(67)} = \frac{24}{sin(43)}

Cross multiply:

XY*sin(43) = 24*sin(67)

XY*0.68 = 24*0.92

Divide both sides by 0.68 to solve for XY

\frac{XY*0.68}{0.68} = \frac{24*0.92}{0.68}

XY = 32.47

XY ≈ 32.5 mm

Step 2: find the area using the formula, ½*XY*WY*sin(Y).

Area = ½*32.5*24*sin(70)

Area = ½*32.5*24*0.94

= 32.5*12*0.94

Area = 366.6 mm² (nearest tenth)

6 0
3 years ago
Please help (add work/reasoning if you can)
iris [78.8K]

Answer:

A

x + y >  - 9 \\  - 7 + ( - 2) >  - 9 \\  \\ 2x - 5y >  - 4 \\ 2( - 7) - 5( - 2)  \\  - 14 + 10 \\  >  - 4

5 0
3 years ago
Read 2 more answers
A stone is an old unit of weight used in Ireland and England to measure potatoes.A stone is 14 pounds and 80 stones make up half
Aneli [31]

Answer: Half of a ton equals to 1,120 pounds.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Since 80 stones make up half of a long ton, and each stone weight is 14 pounds, to obtain the number of pounds in half of a long ton we simply have to multiply the number of stones (80) by the weight of each stone (14)

Mathematically speaking:

<em>14 x 80 = 1,120 pounds </em>

Half of a ton equals to 1,120 pounds.

7 0
4 years ago
Read 2 more answers
2) -2(7n – 6) +n=-3 - 8n
iogann1982 [59]

<em>Answer and Step-by-step explanation:</em>

<em>For this equation the answer is : n=3</em>

<em>Step 1 : Simplify both the sides of the equation :</em>

<em>-2(7n-6)+n=-3-8n</em>

<em>(-2)(7n)+(-2)(-6)+n=-3+-8n   (Distribute)</em>

<em>-14n+12+n=-3+-8n</em>

<em>(-14n+n)+(12)=-8n-3   (Combine the like terms)</em>

<em>-13n+12=-8n-3</em>

<em>-13n+12=-8n-3</em>

<em>Step 2 : Add "8n" to both the sides :</em>

<em>-13n+12+8n=-8n-3+8n</em>

<em>-5n+12=-3</em>

<em>Step 3 : Subtract "12" from both the sides :</em>

<em>-5n+12-12=-3-12</em>

<em>-5n=-15</em>

<em>Step 4 : Divide both the sides by "-5"</em>

<em>\frac{-5n}{-5} =\frac{-15}{-5}</em>

<em>n=3</em>

<em />

<em>That's your final answer : n=3</em>

7 0
3 years ago
Read 2 more answers
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