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3 years ago

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

1 answer:

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:

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

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:

14 x 80 = 1,120 pounds

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]

Answer and Step-by-step explanation:

For this equation the answer is : $n=3$