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Artyom0805 [142]
2 years ago
6

Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.

Mathematics
1 answer:
Flura [38]2 years ago
3 0

The solutions to the given system of equations are x = 6 and y = -5

<h3>Simultaneous linear equations</h3>

From the question, we are to solve the given system of equations

The given system of equation is

4x+5y=-1

-5x-8y=10

Multiply the <u>first equation</u> by 5 and the <u>second equation</u> by 4

5× (4x+5y=-1)

4× (-5x-8y=10)

20x + 25y = -5

-20x - 32y = 40

------------------------

0x + (-7y) = 35

-7y = 35

y = 35/-7

y = -5

Substitute the value of y into the first equation to find x

4x + 5y = -1

4x + 5(-5) = -1

4x -25 = -1

4x = -1 +25

4x = 24

x = 24/4

x = 6

Hence, the solutions to the given system of equations are x = 6 and y = -5

Learn more on Simultaneous linear equation here: brainly.com/question/12647791

#SPJ1

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Multiply the two mixed numbers 4 1/2 x 3 2/3 simplify your answer and write it as a mixed number
konstantin123 [22]

Answer: 16 1/2

Step-by-step explanation:

It's easiest to multiply improper fractions and then to convert them back into mixed numbers, so 4 1/2 would become 9/2 and 3 2/3 would become 11/3. \frac{9}{2} *\frac{11}{3}= 99/6. Now just simplify to 33/2 and then convert back into a mixed number.  16 1/2

8 0
3 years ago
What is the value of f(4) + f(7)
tatyana61 [14]
Is there more to this problem? By saying f(4), you'd be inputting a 4 for every variable x. There is not enough info here to answer the question.
7 0
3 years ago
Willie found shirts at a back-to-school sale for $15.25 each. He also found jeans on sale for $32.95 per pair. He purchased 3 sh
Brilliant_brown [7]

Answer:

111.65

Step-by-step explanation:

$15.25 x 3 = $45.75

$32.95 x 2 = $65.9

Total: $111.65

8 0
3 years ago
Read 2 more answers
Which values are possible rational roots of 4x3+9x2−x+10=0 according to the rational root theorem? Select each correct answer. ±
chubhunter [2.5K]

Answer:

±2

Step-by-step explanation:

For simplicity let's take a look at a general third order polynomial:

ax^3 + bx^2 + cx + d.  In this particular case,

rational roots have the form ±d/±a.  Note that these are fractions/ratios.  Beyond that, we factor d and choose numerators ±(all possible whole number factors of d, dividing these results by all possible factors of a.

Looking at 4x^3 + 9x^2 - x + 10 = 0, we see that d = 10 and that factors of d include ±1, ±2, ±5 and ±10.  a = 4 and factors of a include ±1, ±2, ±4.

So, any rational roots of the given polynomial will stem from the possible rational roots

±1    ±2    ±5    ±10    ±1    ±2    ±5    ±10

--- , ----- , -----, ------- , ---- , ----- , --- , ------ , and so on,

±1    ±1     ±1      ±1      ±2    ±2   ±2     ±2

until you have used up all of the possible factors of 10 and all of the possible factors of 4.  

Of the four possible rational roots you have shared, only ±2 (which would actually be ±2 / ±1) is acceptable.

4 0
3 years ago
Read 2 more answers
Select the correct answer.
crimeas [40]

Answer:

D

Step-by-step explanation:

The absolute value function always returns a positive value, that is

| - a | = | a | = a

Given

8 - | 2g - 5 | ← substitute g = - 3.5 into the expression

= 8 - | - 7 - 5 |

= 8 - | - 12 |

= 8 - 12

= - 4 → D

8 0
3 years ago
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