All categories

3 years ago

Use the linear combination method to solve this system of equations. What is the value of x?

Mathematics

2 answers:

Semmy [17]3 years ago

7 0

X=1 because when u put it in then u will find out.y=-1

zepelin [54]3 years ago

4 0

Answer:

x=1

Step-by-step explanation:

We are going to use the matching method, it consists in clear the same incognits in both equations and macth those results. Steps below:

First equation:

-2.4x-3.6y=1.2

-3.6y=1.2+2.4x

y=(1.2+2.4x)/(-3.6)

Second equation:

2.4x+1.2y=1.2

1.2y=1.2-2.4x

y=(1.2-2.4x)/(1.2)

Now we have to match both equations and clear the incognit x

(1.2+2.4x)/(-3.6) = (1.2-2.4x)/(1.2)

(1.2+2.4x) = (1.2-2.4x) *(-3.6)/(1.2)

1.2+2.4x = (1.2-2.4x) *(-3)

1.2+2.4x = -3.6+7.2x

2.4x-7.2x = -3.6-1.2

-4.8x = -4.8

x = (-4.8)/(-4.8)

x = 1

You might be interested in

If a car can go from 0 to 60 mi/hr in 8.0 seconds, what would be its acceleration ?

tresset_1 [31]

If a car goes from 0 to 60 mph in 8.0 seconds, its acceleration would be 60/8 which is equal to 7.5mph/sec

6 0

3 years ago

Suppose that a loan of $8000 is given at an interest rate of 16% compounded each year.

mash [69]

Answer:

9280

Step-by-step explanation:

8000 x .16 + 8000

6 0

3 years ago

6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally dis

Yakvenalex [24]

Answer:

92.9997< $\mu$ <99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

Hence a 90% confidence interval for the population mean using this sample data is 92.9997< $\mu$ <99.5203

4 0

3 years ago

Angle A and angle B are complementary angles. If m∡a = 4x and m∡b = 3x +13, what is the measure of the smaller angle?

bagirrra123 [75]

Answer:

Step-by-step explanation:

Complementary angles mean two two angles sum with equal 90 degrees. Therefore you would need to create an equation to solve for the value of x.

4x+3x+13=90

-13 -13

7x=77

/7 /7

X=11

Now plug in the value of x.

A=4(11) B=3(11)+13

A=44. B=33+13

B=46

Angle a is the smaller angle and measures at 44°

5 0

2 years ago

What value of x makes the following equation true? 15+3x=3(2−2x)

Alinara [238K]

Answer:

$\boxed {x = -1}$

Step-by-step explanation:

Solve for the value of $x$ :

$15 + 3x = 3(2 - 2x)$

-Use Distributive Property:

$15 + 3x = 3(2 - 2x)$

$15 + 3x = 6 - 6x$

-Take $6x$ and add it to $3x$ :

$15 + 3x + 6x = 6 + 6x - 6x$

$15 + 9x = 6$

-Subtract both sides by $15$ :

$15 - 15 + 9x = 6 - 15$

$9x = -9$

-Divide both sides by $9$ :

$\frac{9x}{9} = \frac{-9}{9}$

$\boxed {x = -1}$

Therefore, the value of $x$ is $-1$ .

5 0

3 years ago