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Radda [10]
2 years ago
13

"4x + 3y = 0 \\5y + 53 = 11x \\ " alt="4x + 3y = 0 \\5y + 53 = 11x \\ " align="absmiddle" class="latex-formula">
How to solve ti's in
1. By elimination method
2. By substitution method
3. By graphical method ​
Mathematics
1 answer:
Anvisha [2.4K]2 years ago
7 0

Answer:

x = 3, y = -4

Step-by-step explanation by substitution:

Solve the following system:

{4 x + 3 y = 0 | (equation 1)

5 y + 53 = 11 x | (equation 2)

Express the system in standard form:

{4 x + 3 y = 0 | (equation 1)

-(11 x) + 5 y = -53 | (equation 2)

Swap equation 1 with equation 2:

{-(11 x) + 5 y = -53 | (equation 1)

4 x + 3 y = 0 | (equation 2)

Add 4/11 × (equation 1) to equation 2:

{-(11 x) + 5 y = -53 | (equation 1)

0 x+(53 y)/11 = -212/11 | (equation 2)

Multiply equation 2 by 11/53:

{-(11 x) + 5 y = -53 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(11 x)+0 y = -33 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by -11:

{x+0 y = 3 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 3 , y = -4

_____________________________________

Solve the following system:

{4 x + 3 y = 0

5 y + 53 = 11 x

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{4 x + 3 y = 0

5 y + 53 = 11 x

Hint: | Isolate terms with x to the left hand side.

Subtract 3 y from both sides:

{4 x = -3 y

5 y + 53 = 11 x

Hint: | Solve for x.

Divide both sides by 4:

{x = -(3 y)/4

5 y + 53 = 11 x

Hint: | Perform a substitution.

Substitute x = -(3 y)/4 into the second equation:

{x = -(3 y)/4

5 y + 53 = -(33 y)/4

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for y:

{x = -(3 y)/4

5 y + 53 = -(33 y)/4

Hint: | Isolate y to the left hand side.

Subtract 53 - (33 y)/4 from both sides:

{x = -(3 y)/4

(53 y)/4 = -53

Hint: | Solve for y.

Multiply both sides by 4/53:

{x = -(3 y)/4

y = -4

Hint: | Perform a back substitution.

Substitute y = -4 into the first equation:

Answer: {x = 3 , y = -4

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A baby giraffe was born at a wildlife preserve. The giraffe was 6 feet tall when it was born, and it grew 1.75 feet over the nex
HACTEHA [7]

The age of the giraffe when he is 15 feet tall be 1 year 1 month and  16 days.

<h3>What is fraction?</h3>

A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Giraffe height = 6 feet

Height grew in 7 months= 1.75 feet

Giraffe's height in 7 month = 7.75 feet

Giraffe's height, 1 feet= \frac{7}{7.75} month

                                   = 0.9032 months

Giraffe's height, 15 feet=  0.9032 x 15 month

                                    = 13.548 month

                                    = 13 months 16 days approx.

                                    = 1 year 1 month 16 days

Hence, the age of giraffe will be 1 year, 1 month and 16 days

Learn more fraction here:

brainly.com/question/10354322

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2 years ago
Please help picture shown !!!!
never [62]
Right... soo wouldnt the a: be E??
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