All categories

3 years ago

12y=17-9x and -4y-3x=31 solve by elimination

Mathematics

1 answer:

vodka [1.7K]3 years ago

7 0

Answer:

0 ≠ 110

No solution

Step-by-step explanation:

Solve by Addition/Elimination

12y = 17 − 9x and −4y − 3x = 31

Reorder 17 and −9x. 12y = −9x + 17

−4y − 3x = 31

Add 9x to both sides of the equation.

12y + 9x = 17

−4y − 3x = 31

Reorder the polynomial.

9x + 12y = 17

−4y − 3x = 31

Reorder the polynomial.

9x + 12y = 17

−3x − 4y = 31 9x + 12y = 17

Multiply each equation by the value that makes the coefficients of x opposite.

9x + 12y = 17

(3) ⋅ (−3x − 4y) = (3) (31)

Simplify (3) ⋅ (−3x − 4y).

Apply the distributive property.

9x + 12y = 17

3 (−3x) + 3 (−4y) = (3) (31)

Multiply −3 by 3. 9x + 12y = 17

−9x + 3 (−4y) = (3) (31)

Multiply −4 by 3. 9x + 12y = 17

−9x − 12y = (3) (31)

Multiply 3 by 31. 9x + 12y = 17

−9x − 12y = 93

Add the two equations together to eliminate x from the system.

9x+12y=17

+−9x−12y=93

0=110

Since 0 ≠ 110, there are no solutions. No solution

You might be interested in

11 inches of snow in 7 hours. How do you write it as a ratio?

horsena [70]

Answer:

The ratio of inches of snow to hours is 11:7.

Step-by-step explanation:

Because 11 and 7 are both prime, the only common factor is 1. Therefore, the ratio is simply 11:7.

The answer is:

<em>The ratio of inches of snow to hours is 11:7.</em>

6 0

3 years ago

Read 2 more answers

Guys I don’t know the answer tell me the remainder too

ikadub [295]

Answer:

119 R5

divide divide divide divide

3 0

1 year ago

Read 2 more answers

10 POINTS!!!!!!! write an equation for a line that goes through the point (-3,-4) and has a slope on -2

4vir4ik [10]

Thats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya Lungs

4 0

2 years ago

Solve this problem please

djyliett [7]

The formula for depreciation is:

$y=x(1-r)^t$

Where x = Initial value,

y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

$944 = 1040(1-r)^1$

944 = 1040 (1 -r)

$\frac{944}{1040} =1-r$ Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

So, r = 0.09 or 9%.

Now plug in 0.09 in the above equation to get the depreciation equation. So,

$y = x (1- 0.09)^t$

So, $y = 0.91x^t$

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, $y= 1040 *(0.91)^{0.41667}$

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

Hence, the value of the bike after 5 months is $1000.

7 0

3 years ago

I am greater than 1/3 but less than 1. My numerator and denominator have a difference of 5 and a product of 24. Who am I?

grandymaker [24]

Answer:

Step-by-step explanation:

5/8

5 0

3 years ago