All categories

3 years ago

Solve the following system of equations.

Mathematics

1 answer:

V125BC [204]3 years ago

7 0

Answer:

x = 3 and y = -6

Step-by-step explanation:

Use the elimination method to get rid of one of the variables.

Find the value of one variable.

Find the value of the remaining variables using substitution.

Clearly state the final answer.

Check your answer by substituting both values into either of the original equations.

You might be interested in

Five whole numbers are written in order

jeka57 [31]

Answer:

x=7

y=8

Step-by-step explanation:

-Given that the mean and median is the same.

-Let b=mean =median

#Given that the set is arranged in order and is even:

$median=\frac{n+1}{2}\\\\Median=3^{rd} \ term\\\\=x$

Hence:

$b=median=mean\\\\b=x\\\\\therefore mean=median=x$

-Applying the mean formula:

$\bar x=\frac{1}{n}\sum{x_i}\\\\\therefore 5x=4+6+x+y+10\\\\4x=20+y\\\\x=5+0.25y$

#Since the number are in order:

$6$

Hence, x=7 and y=8

8 0

3 years ago

PLEASE HELP!! Compare & Contrast how Completing the Square is used to Convert a quadratic function to vertex form with how i

Likurg_2 [28]

Answer:

Step-by-step explanation:

Given a general quadratic formula given as ax²bx+c = 0

To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;

Step 1:

Bringing c to the other side

ax²+bx = -c

Dividing through by coefficient of x² which is 'a' will give:

x²+(b/a)x = -c/a

- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:

x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²

(x+b/2a)² = -c/a+(b/2a)²

(x+b/2a)² = -c/a + b²/4a²

- Taking the square root of both sides

√(x+b/2a)² = ±√-c/a + b²/√4a²

x+b/2a = ±√(-4ac+b²)/√4a²

x+b/2a =±√b²-4ac/2a

- Taking b/2a to the other side

x = -b/2a±√√b²-4ac/2a

Taking the LCM:

x = {-b±√b²-4ac}/2a

This gives the vertex form with how it is used to Solve a quadratic equation.

7 0

3 years ago

!!!please for the love of God help me!!!

Grace [21]

<h3>Given :-</h3>

$\\$

x=y-1
x+2y=8

$\\$

$\\$

Value of x
Value of y

$\\$

<h3>Solution:-</h3>

Let say it is first equation:-

x=y-1. . . . (1)

and this is second equation:-

x+2y=8 . . . . (2)

$\\ \\$

Simplifying 1 equation:-

x = y - 1
x +1 = y
y = x + 1

Put this value of y in second equation.

$\\$

$\dashrightarrow \sf \: x+2y=8$

$\\$

$\dashrightarrow \sf \: x+2(x + 1)=8$

$\\$

$\dashrightarrow \sf \: x+2x +2=8$

$\\ \\$

$\dashrightarrow \sf \: 3x +2=8$

$\\ \\$

$\dashrightarrow \sf \: 3x=8 - 2$

$\\ \\$

$\dashrightarrow \sf \: 3x=6$

$\\ \\$

$\dashrightarrow \sf \: x=6 \div 3$

$\\ \\$

$\dashrightarrow \sf \: x= \bf2$

$\\$

to find value of y :-

y = x + 1

y = 2 + 1

y = 3

$\\$

verification:-

$\\$

1 equation:-

x = y - 1

put value of x and y

2 = 3 - 1

2 = 2

LHS = RHS

Hence verified!

$\\$

2 equation:-

$\\$

x+2y=8

put value of x and y

2 + 2 × 3 = 8
2 + 6 = 8
8 = 8

LHS = RHS

Hence verified!

$\\$

Both equation verified!

.°. value of x and y is 2 and 3 respectively

7 0

2 years ago

Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class and fi

Pachacha [2.7K]

He is not making a valid inference because he is assuming the student populations interest based on a small part/ group of the student population, his class.

6 0

3 years ago

Solve −4 = −(−k − 86)+10

kvasek [131]

K= 100

You use distributive property
<span>
Step 1: </span><span>−(−k)−1(−86)+10=−4

Step 2: </span><span>k−1(−86)+10=−4

Step 3: </span><span>k+86+10=−4

Step 4: </span><span>k+96=−4

Step 5: </span><span>k=−96−4

Step 6: </span><span>Subtract </span>4<span> from </span><span>−96</span><span> to get </span><span><span><span>−100</span>.</span></span>

3 0

3 years ago

Read 2 more answers