First thing you should do is reduce coefficients.
1st equation has all multiples of '2'. Divide by 2
---> x +3y = -6
2nd equation has multiples of 5. Divide by 5.
---> x - y = 2
Now elimination part is easier.
Eliminate 'x' variable by subtracting 2nd equation from 1st.
x + 3y = -6
-(x - y = 2)
----------------------
4y = -8
Solve for 'y'
4y = -8
y = (-8)/4 = -2
Substitute value for 'y' back into 2nd equation:
x - (-2) = 2
x + 2 = 2
x = 0
Solution to system is:
x=0, y =-2
Answer:
B
Step-by-step explanation:
the all posible situations are listed in the sample space
www =won all 3 games
wwl= won first 2 games and lost the last and so on...
The amount for the discount is 150$
Answer:
The LCM of 9, 12, and 24, is <em>72. </em>
Step-by-step explanation:
To find the answer you must figure out the factors of <em>each number</em>, and see which factor has the <em>same number.</em>
<u><em>Factors of 9: </em></u> <u><em>Factors of 12:</em></u><em> </em><u><em>Factors of 24: </em></u>
<em> 9 12 24</em>
<em> 18 24 48</em>
<em> 27 36 72</em>
<em> 36 48</em>
<em> 45 60</em>
<em> 54 72</em>
<em> 63</em>
<em> 72</em>
When we look at all these factors, none of them have the same number <em>except 72.</em> Since <em>all</em> of these factors have <em>72 in them</em>, this is the<em> </em>LCM of 9, 12, and 24.
Answer:
yes
Step-by-step explanation:
(2,2)
x=2 y=2
x+y=4
2+2=4
4=4
5x+5y=20
5(2)+5(2)=20
10+10=20
20=20