All categories

3 years ago

8x - 6y=-165x + y = 28In using Elimination?

2 answers:

7 0

Multiple (5x+y= 28) by 6 giving you 30x +6y =168 and then you would add the two equations together, giving you 38x = 152, divide both sides by 38, giving you 4. after this, you would sub x=4 into one of the equations (i’m using the 5x+ y =28) which would give me 20 + y = 28, subtract 20 by both sides, giving you y= 8. so your answer is (4,8)

lapo4ka [179]3 years ago

3 0

Answer:

x=4

y=8

Step-by-step explanation:

8x - 6y=-16 Equation 1

5x + y = 28 Equation 2

To solve with elimination method

Multiply equation 2 by 6, the coefficient of y in equation 1, so y can have the same coefficient.

6(5x + y = 28)

30x+6y=168 Equation 3

8x-6y=-16 Equation 1

Add equation 1 and equation 3 to eliminate y

30x+8x=38x

6y+(-6y)=6y-6y=0

168+(-16)=168-16=152

38x=152

Divide both sides by 38

38x/38=152/38

x=152/38

x=4

Substitute x for 4 in equation 2

5x + y = 28

5(4)+y=28

20+y=28

Make y the subject

y=28-20

y=8

You might be interested in

You're conducting a significance test for H0 : p = .35, Ha : p < .35. In a sample of size 40, you identify a count of 11 succ

nordsb [41]

Answer: c. –1 and .1587

Step-by-step explanation:

As per given , we have

Null hypothesis : $H_0 : p= 0.35$

Alternative hypothesis : $H_1 : p< 0.35$

Since Alternative hypothesis is left-tailed ,so the test must be a left tailed test .

Z -Test statistic for proportion = $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where p= population proportion

$\hat{p}$ = sample proportions

n= Sample size.

Let x be the number of successes.

For n= 40 and x= 11

$\hat{p}=\dfrac{x}{n}=\dfrac{11}{40}=0.275$

Then , $z=\dfrac{0.275-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{40}}}$

$z=\dfrac{-0.075}{\sqrt{0.0056875}}$

$z=\dfrac{-0.075}{0.075415515645}$

$z=-0.99449031619\approx-1$

By using z-table ,

P-value for left-tailed test = P(z<-1)= 1-P(z<1) [∵ P(Z<-z)= 1-P(Z<z) ]

= 1-0.8413

=0.1587

Hence, the -score and P-value are <u>–1 and 0.1587</u> .

So the correct option is c. –1 and .1587

8 0

4 years ago

V7x – 1 = 3<br> Please help this is algebra 2

kumpel [21]

Solving for X

7vx−1=3

7vx=3+1

7vx=4

vx=4/7

x=4/7/v

x=4/7v

Solving for Y

7vx−1=3

7vx=3+1

7vx=4

vx=4/7

v=4/7/x

v=4/7x

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

6 0

3 years ago

What are all the real roots of the following polynomial? please help

Klio2033 [76]

Step-by-step explanation:

hope it helps with your assignment

8 0

2 years ago

When you flip a biased coin the probability of getting a tail is 0.6. How many times would you expect to get tails if you flip t

laiz [17]

Answer: I believe it’s 192 times

Step-by-step explanation:

You multiply 0.6 by 320, giving you 192

4 0

3 years ago

Help D: log3 x^6 =12 <br>find x

Zielflug [23.3K]

$\log_ab=c\iff a^c=b\qquad(*)\\\\\log_ab^c=c\cdot\log_ab\qquad(**)\\\\---------------------\\\\\log_3x^6=12\qquad\text{use}\ (**)\\\\6\log_3x=12\qquad\text{divide both sides by 6}\\\\\log_3x=2\qquad\text{Use}\ (*)\\\\3^2=x\to\boxed{x=9}$

8 0

3 years ago

8x - 6y=-165x + y = 28In using Elimination?​

8x - 6y=-165x + y = 28In using Elimination?