3 years ago

Solving by elimination

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer:

x = 3

y = 6

Step-by-step explanation:

(-4x - y = -18)

2 (2x + 3y = 24)

-4x - y = -18

4x + 6y = 48

5 / 5y = 30 / 5

y = 6

______________________

-4x - (6) = -18

-4x - 6 + 6 = -18 + 6

-4x = -12

-4x / 4 = -12 / 4

x = 3

You might be interested in

X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

2 years ago

A soccer ball is kicked up field as gloria runs to advance it further. The graph presents the distance that Gloria and the socce

inna [77]

The answer is d okay

3 0

2 years ago

Find the mean of the data set if necessary round to the nearest tenth 16, 12, 8, 22, 25, 8

Taya2010 [7]

15.2

16 + 12 + 8 + 22 + 25 + 8 = 91 / 6 = 15.16 = 15.2

4 0

2 years ago

2x+y=10x-4y i dont know

Basile [38]

Step-by-step explanation:

2x-10x= -4y-y

-8x= -5y

cancel (-) on both sides we get

8x=4y

7 0

3 years ago

Read 2 more answers

Factoring a polynomial is essentially dividing.

joja [24]

<span>yes, in the sense that factoring is the process of breaking apart things that are multiplied</span>

4 0

2 years ago

Read 2 more answers