All categories

2 years ago

Solve using elimination. 6x + 8y = -4 -6x - 10y = 14

Mathematics

2 answers:

jok3333 [9.3K]2 years ago

3 0

Answer:

x = 6, y = -5.

Step-by-step explanation:

6x + 8y = -4

-6x - 10y = 14 Adding will eliminate the terms in x:

0 - 2y = 10

y = 10/-2 = -5,

Plug this into the second equation:

-6x - 10(-5) = 14

-6x = 14 - 50 = -36

x = -36/-6

x = 6.

bearhunter [10]2 years ago

3 0

Answer:

x = 6

y = -5

Step-by-step explanation:

Add the 2 together because the 6x and -6x cancel out

6x + 8y = -4

+(-6x - 10y = 14)

-2y = 10

$\frac{-2y}{-2} = \frac{10}{-2}$

y = -5

Then plug into y to get x.

6x + 8(-5) = -4

6x - 40 = -4

+ 40 + 40

6x = 36

$\frac{6x}{6} = \frac{36}{6}$

x = 6

You might be interested in

What is 8.354 times 11.81?

pashok25 [27]

8.354 times 11.81 is equal to 98.66074

6 0

2 years ago

Read 2 more answers

Jake heard that spinning—rather than flipping—a penny raises the probability above 50\%50%50, percent that the penny lands showi

mamaluj [8]

Answer:

3.60

Step-by-step explanation:

Kahn Academy

3 0

2 years ago

Given: \overline{AC} \perp \overline{BD} AC ⊥ BD and \overline{BD} BD bisects \overline{AC}. AC . Prove: \triangle ABD \cong \tr

Fofino [41]

Answer:

The Proof for

△ABD ≅ △CBD is below

Step-by-step explanation:

Given:

$\overline{AC} \perp \overline{BD}$

$\overline{BD} \ bisects\ \overline{AC}$

AD = CD .........BD bisect AC

To Prove:

△ABD ≅ △CBD

Proof:

In ΔABD and ΔCBD

BD ≅ BD ....……….{Reflexive Property}

∠ADB ≅ ∠CDB …………..{Measure of each angle is 90°( $\overline{AC} \perp \overline{BD}$ )}

AD ≅ CD ....……….{ $\overline{BD} \ bisects\ \overline{AC}$ }

ΔABD ≅ ΔCBD .......….{By Side-Angle-Side Congruence test} ...Proved

4 0

2 years ago

A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

After 47 days she will have more than 90 trillion pennies.

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

2 years ago

Can y’all help me again

Alexxx [7]

Hello! To find the formula for Celsius to Fahrenheit, we just basically find the inverses of what's in the problem. The multiplicative inverse of 5/9 is 9/5. The opposite of f - 32 is c + 32. The formula is 9/5c + 32. Even on the internet, it confirms that the formula is 9/5 and then add 32. The answer is B.

4 0

2 years ago