<span>1. Solve the system by substitution -2x+y=-11, 3x-4y=11.
</span>-2x+y=-11<span>
y = 2x-11
</span><span>3x-4y=11
</span>3x-4(2x-11)=11
3x -8x + 44 = 11
-5x = -33
<span>x =33/5
y = 11/5
</span><span>2. Solve the system using elimination- 2x+6y=-12, 5x-5y=10.
</span><span>(-2x+6y=-12)5
</span>-10x + 30y = -60
<span>(5x-5y=10)2
</span>10x - 10y = 20
Adding the two equations,
<span>-10x + 30y = -60
</span><span>10x - 10y = 20
</span>
20y = -40
y = -2
x = 0
<span>3. What is the solution of the following system?-3x-2y=-12, 9x+6y=-9.
</span><span>-3x-2y=-12
</span>y = -3/2 x + 6
<span>9x+6y=-9
</span>y = -3/2 x - 3/2
Since the slopes are equal then they are parallel lines so they never meet at one point.
Answer:
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Answer:
6
Step-by-step explanation:
w/w+6 = 1/2
2w = w+6
w=6
Answer: room 101 and room 107
Step-by-step explanation:
In room 101, the ratio of boys to girls is 16:12. This is further simplified to its lowest fraction by dividing by 4. It becomes 4:3
In room 104, the ratio of boys to girls is 20:9. This cannot be further simplified to its lowest fraction.
In room 107, the ratio of boys to girls is 12:9. This is further simplified to its lowest fraction by dividing by 3. It becomes 4:3
Therefore, room 101 and room 107 have the same ratio.
Answer: $6000
Step-by-step explanation:
Multiply the cost of the book by the decimal equivalent of 12% (25 x .12). this equal 3 dollars per book. 2,000 copies of the book were sold, so you would multiply 2000 by 3. 2000 x 3 = 6000
