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3 years ago

Solve this system of linear equations. Separate the x- and y- values with a comma. 8x + 2y =-42 4x + 7y=-3

Mathematics

1 answer:

gavmur [86]3 years ago

7 0

<h3><u>The value of x is equal to -6.</u></h3><h3><u>The value of y is equal to 3.</u></h3>

8x + 2y = -42

4x + 7y = -3

In the first equation, subtract 8x from both sides.

2y = -42 - 8x

Divide all terms by 2.

y = -21 - 4x

Now that we have a value of y, we can plug it into the second equation to solve for x.

4x + 7(-21 - 4x) = -3

Distributive property.

4x - 147 - 28x = -3

Combine like terms.

-24x - 147 = -3

Add 147 to both sides.

-24x = 144

Divide both sides by -24.

x = -6

Now that we have a true value for x, we can plug it into either equation to solve for y.

8(-6) + 2y = -42

-48 + 2y = -42

Add 48 to both sides.

2y = 6

Divide both sides by 2.

y = 3

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3) There are 60 total students in two of Mr. Weber's classes. 80% of them say he is

m_a_m_a [10]

Answer:

48 will be the answer.

Step-by-step explanation:

we can simply find the 80 percent of 60.

80 * 60 / 100 = 4800/100 = 48.

so 48 students think he is their favorite teacher.

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3 years ago

Read 2 more answers

Which number produces a rational answer when added to 0.85

ZanzabumX [31]

The number that produces a rational answer when added to 0.85 is; 193/180

<h3>How to identify rational numbers?</h3>

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.

Now, let us convert 0.85 to a fraction. Thus;

0.85 = 85/100 = 17/20

From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;

17/20 + 2/9 = 193/180

193/180 is a rational number.

The missing options are;

A. 2/9

B. 0.2645751311...

C. √2

Read more about rational numbers at; brainly.com/question/4694420

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3 0

2 years ago

Can anyone please help me what is x<br>

Masja [62]

Step-by-step explanation:

the side on the left of 155 is 180-155 which is 25

the one on top of 120 is 180-120 which is 60 so the one on the right of x is 180-(25+60) which is 95

now the value of x is 180-95 which is 85.

in the second one x=180-100 because the angle on the bottom of x is corresponding to the one that's equal to 100, so x=180-100 which is 80

for the first one x=85

the second one x=80

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3 years ago

Read 2 more answers

Find an equation of the line perpendicular to the graph of 14x-7=1 that passes through the point at (-2,4)

wolverine [178]

we know that

If two lines are perpendicular, then the product o their slopes is equal to minus one

$m1*m2=-1$

Step 1

<u>Find the slope of the given line</u>

we have

$14x-7=1\\14x=1+7$

$x=8/14$ -------> $x=4/7$

This line is parallel to the y-axis

the perpendicular will be parallel to the x-axis

Step 2

The equation of the line perpendicular to the given line is the y-coordinate of the given point

Point $(-2,4)$

the equation is

$y=4$

therefore

<u>the answer is</u>

$y=4$

see the attached figure to better understand the problem

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3 years ago

PLS HELP ASAP:Find all the missing elements:

adelina 88 [10]

Answer:

b ≈ 9.5, c ≈ 14.7

Step-by-step explanation:

Using the Sine rule in Δ ABC, that is

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ , substitute values

$\frac{7}{sin23}$ = $\frac{b}{sin32}$ ( cross- multiply )

b × sin23° = 7 × sin32° ( divide both sides by sin23° )

b = $\frac{7sin32}{sin23}$ ≈ 9.5 ( to the nearest tenth )

Also

$\frac{a}{sinA}$ = $\frac{c}{sinC}$

$\frac{7}{sin23}$ = $\frac{c}{sin125}$ ( cross- multiply )

c × sin23° = 7 × sin125° ( divide both sides by sin23° )

c = $\frac{7sin125}{sin23}$ ≈ 14.7 ( to the nearest tenth )

3 0

3 years ago