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joja [24]
3 years ago
13

Which statements about the system are true?

Mathematics
1 answer:
Kruka [31]3 years ago
5 0

2 Answers:

  • B)  The lines are parallel
  • C)  The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

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8 0
3 years ago
1. 12 = x + 3<br> 2. b+0.6= -1<br> 3. a+(-4)= -13<br> 4. x+27= -12<br> 5. a+(-1.2)= -5.5
Archy [21]
1. 12=x+3    12-3=9  now try 9+3 that is 12 so x=9
2. b+0.6=-1   -1-0.6=-1.6   -1.6+0.6=-1  b=-1.6
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4. x=-39 I believe
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8 0
3 years ago
Read 2 more answers
Need help on this math problem of parallelograms.
tamaranim1 [39]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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