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kupik [55]
3 years ago
13

3x+4y= -24 Find the x-intercept and the y-intercept.

Mathematics
2 answers:
Lilit [14]3 years ago
7 0

Answer:

y = -3/4 - 6

Step-by-step explanation:

3x + 4y = -24

get Y to be by itself so subtract 3x on both sides

4y=-3x-24

divide by 4 on both sides

y = -3/4x -24/4

-24/4=-6

y = -3/4 - 6

Lapatulllka [165]3 years ago
4 0

Answer:

Step-by-step explanation:

x-intercept:  let y = 0 and find x.  Then 3x = -24, and x = -8.  The x-intercept is (-8, 0).

y-intercept:  Let x = 0 and find y.  4y = -24 yields y = -6.  The y-intercept is (0, -6).

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Explanation:

Let's put the information in a table step-by step.

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At the end, there were 8 more seniors than juniors:

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Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

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  • Distribution property:

8S-120-6S-90=96

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8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

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Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

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