All categories

3 years ago

-10x-6y=0 -4x -6y=54 find the solution of this system of equations

1 answer:

7 0

You can see that the term $-6y$ appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have

$(-4x -6y) - (-10x-6y) = 54-0 \iff 6x = 54 \iff x = 9$

Now that we know the value of $x$ , we can substitute in any of the equation to deduce the value of $y$ : if we use the first equation, for example, we have

$-10x-6y=0 \iff -10\cdot 9 - 6y = 0 \iff -90-6y=0 \iff 6y = -90 \iff y = -15$

You might be interested in

Two trains, Train A and Train B, weigh a total of 149 tons. Train A is heavier than Train B. The difference of their weights i

SpyIntel [72]

Answer:

train a weighs 310 tons and train b weighs 303 tons

Step-by-step explanation:

7 0

3 years ago

What is m Any answers?

Likurg_2 [28]

Answer:

B. 68°

Step-by-step explanation:

Since, opposite sides of the quadrilateral MNPQ are parallel.

Therefore, it is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

So,

(6x - 2)° = (4x + 36)°

6x - 2 = 4x + 36

6x - 4x = 36 + 2

2x = 38

x = 38/2

x = 19

$m\angle M = (6x - 2)\degree \\ \\ m\angle M = (6 \times 19- 2)\degree \\ \\ m\angle M = (114- 2)\degree \\ \\ m\angle M =112\degree \\ \\ \because m\angle M + m\angle N = 180\degree \\ (adjacent \: angles) \\ \\ \therefore m\angle N = 180\degree - m\angle M \\ \\ \therefore m\angle N = 180\degree - 112 \degree \\ \\ \therefore m \angle N = 68\degree$

8 0

3 years ago

PLSSS HELP!! For the given ordered pairs, write a function rule relating x and y. (1,4), (2,9), (3,16), (4,25)

LenKa [72]

Answer:

y=(x+1)^2

Step-by-step explanation:

we have the following

$x=1;y=4\\\\x=2;y=9\\\\x=3;y=16\\\\x=4;y=25$

the values of y are squares so we can write

$x=1;y=2^{2} \\\\x=2;y=3^2\\\\x=3;y=4^2\\\\x=4;y=5^2$

so as you can see when

$x=n;y=(n+1)^2$

so our relation is

$y=(x+1)^2$

3 0

3 years ago

Suppose f(x)=x^2+3 and g(x)=x-2 find (f-g)(x

SSSSS [86.1K]

Answer:

x^2-x+5

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)

= (x^2 + 3) - (x - 2) (Don’t forget the -1 multiplies to the x AND -2

= x^2 + 3 - x + 2

=x^2-x+5

6 0

3 years ago

Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45%

Juli2301 [7.4K]

Answer:

580 seedlings altogether.

Step-by-step explanation:

Given that,

Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.

The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

<em>Let x = the total number of seedlings</em>

<em /> $15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580$

Hence, three boys plant 580 seedlings altogether.

7 0

3 years ago