All categories

3 years ago

Solve the system algebraically. Check your work.

2 answers:

3 0

Hey there! :D

We can subtract the equations from each other.

4x-3x=x

2y-2y=0

10-6=4

x=4 <== that's all we have left of the equation

Now plug that in to solve.

3(4)+2y=6

12+2y=6

2y=-6

y=-3

Solution: (4,-3)

I hope this helps!
~kaikers

andriy [413]3 years ago

3 0

Answer:

x = 4 and y = -3.

Step-by-step explanation:

Given : 4x + 2y = 10 and 3x + 2y = 6.

To find : Solve the system algebraically. Check your work.

Solution : We have given that

4x + 2y = 10 ----(1)

3x + 2y = 6.------(2)

Subtracting equation 2 from 1

4x + 2y = 10

(-)3x + (-)2y =(-) 6.

_____________

x + 0 = 4

x =4

Plug x = 4 in equation 1

4 (4) + 2y = 10.

16 + 2y = 10.

2y = 10 -16.

2y = -6.

On dividing by 2 both sides

y = -3.

Check:

Plug the values x =4 , y =-3 in equation 1

4 (4) + 2 ( -3) = 10

16 -6 = 10

10 =10

Verify,

Therefore, x = 4 and y = -3.

You might be interested in

Given the trinomial 2x*2 + 4x − 2, what is the value of the discriminant? a. 0 b. 10 c. 32 d. 36

Komok [63]

$2x^{2}+4x-2 \\ \\ \Delta=b^{2}-4ac \\ \\ \Delta=4^{2}-4*2*(-2)=16+16=32$

==================================

"Associate with people who are likely to improve you."

7 0

3 years ago

Read 2 more answers

Write the product using exponents (very easy)

goldfiish [28.3K]

Answer:

$-9^{4}$ x $x^{3}$

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

According to a certain website, wine critics generally use a wine-scoring scale to communicate their opinions on the relative qu

const2013 [10]

Answer:

$\bar x = 82$

$\sigma = 9.64$

Step-by-step explanation:

Given

$n = 12$

$87\ 91\ 86\ 82\ 72\ 91\ 60\ 77\ 80\ 79\ 83\ 96$

Solving (a); Point estimate of mean

To do this, we simply calculate the sample mean

$\bar x = \frac{\sum x}{n}$

$\bar x = \frac{87+ 91+ 86+ 82+72+91+60+77+80+79+83+96}{12}$

$\bar x = \frac{984}{12}$

$\bar x = 82$

Solving (b); Point estimate of standard deviation

To do this, we simply calculate the sample standard deviation

$\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n - 1}$

$\sigma = \sqrt\frac{(87-82)^2+ (91-82)^2+ ....+ (79-82)^2+ (83-82)^2+ (96-82)^2}{12-1}$

$\sigma = \sqrt\frac{1022}{11}$

$\sigma = \sqrt{92.91}$

$\sigma = 9.64$

Note that: The sample mean and the sample standard deviation are the best point estimators for the mean and the standard deviation, respectively.

Hence, the need to solve for sample mean and sample standard deviation

3 0

3 years ago

HELP MEEEE How do you add and subtract functions?

nata0808 [166]

Answer:

To add or subtract functions, just add or subtract the values at each point where it makes sense. If the functions are given by formulas, you can just add or subtract the formulas (it doesn't matter whether you plug in values before or after).

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 2x – 1 into the quadratic formula below

S_A_V [24]

A= 4 B= 2 C= -1
follow the formula ax^2 + bx + c= 0.

5 0

3 years ago