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shtirl [24]
3 years ago
8

Does the system have one solution, no solution, or infinitely many? Use your substitution to justify your answer

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

Answer: It has one solution. The solution is (x,y) = (-4,-3)

Add up the equations doing so straight down

x + -x = 0x = 0 so the x terms go away

2y + 2y = 4y

-10 + (-2) = -12

We end up with 4y = -12 so y = -3 after you divide both sides by 4. Use this y value to find the value of x

x+2y = -10

x + 2(-3) = -10

x - 6 = -10

x = -10+6

x = -4

The single solution is (x,y) = (-4,-3)

As a check, plug this solution into each equation to see if you get a true statement or not. Let's do so with the first equation

x+2y = -10

-4 + 2(-3) = -10

-4 - 6 = -10

-10 = -10 .... true

and then the second equation

-x+2y = -2

-(-4) + 2(-3) = -2

4 - 6 = -2

-2 = -2 .... true

both equations are true, so the solution is confirmed

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7 0
3 years ago
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What is th resulting true inequality ​
lorasvet [3.4K]

Answer:

10>-15

Step-by-step explanation:

The given inequality is:

-2<3

The inequality has to be multiplied by -5.

The multiplication is same as multiplying a normal equation with a number. The only difference is that the sign of inequality is changed when it is multiplied with a negative number.

So,

-2(-5) < 3(-5)

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So the correct answer is the last option ..

8 0
3 years ago
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Wewaii [24]

Answer:

13: Skew

14: Parallel

16: Intersecting

17: Skew

18: No

19: Yes

20: No

21: Yes

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Parallel is when 2 lines are on the same plane, and will never touch

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8 0
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V
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Answer:

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Step-by-step explanation:

4 0
3 years ago
Solve the inequality –3(r – 5) + 7 &gt; 28.
docker41 [41]

Answer: r<-2

Step-by-step explanation:

-3(r-5)+7>28

-3(r-5)+7-7>28-7

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3(r-5)/3 < -21/3

r-5<-7

r-5+5<-7+5

r<-2

5 0
3 years ago
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