All categories

2 years ago

Please help me!! find the solution of this system of equations -x + 5y=-18 5x - 9y= 10

1 answer:

8 0

Multiply the first equation by 5 to use the elimination method.

-5x+25y=-90
5x-9y=10

16y=-80
y=-5

Plug this y value into one of the original equations.

-x+5(-5)=-18
-x-25=-18
-x=7
x=-7

Final answer: (-7,-5)

You might be interested in

If y varies directly as x, find the constant of variation if y = 25 and x = 5.

Soloha48 [4]

Answer:

The constant of variation is 5

Step-by-step explanation:

We know direct variation is of the form

y = kx

We know y =25 and x=5

25 = k*5

Divide each side by 5

25/5 = 5k/5

5 = k

3 0

2 years ago

Please help me ASAP

Salsk061 [2.6K]

Answer:

Two.

Step-by-step explanation:

Simultaneous equation is a Finite sets of equations whose common solutions are sought.

Two solutions in the equation above is sought.

5 0

2 years ago

For y = x^2 + 10x + 24, write the axis of symmetry, the vertex, and whether the

mylen [45]

Answer:

x= - 2

Step-by-step explanation:

hello :

note : the equation of the axis symmetry for the parabola : y =ax²+bx+c

when : a≠ 0 is : x=- b/2a

in this exercice : a=1 and b=10

so : x= -10/2 = -5

7 0

3 years ago

What is the slope of the line with equationy-3=-x-2)?<br> 3)<br> (42).

gulaghasi [49]

Answer:

Step-by-step explanation:

-3 = -x - 2

the equation is a bit hard to read in your questions but if that is the correct equation then the slope is -1

4 0

2 years ago

A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

3 0

2 years ago