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givi [52]
2 years ago
9

Dominique needs to solve the system of equations by graphing. Which statement is true about the system? 2 x minus 3 y = 12. Y =

negative three-fifths x 2. Both equations are in slope-intercept form. Neither equation is in slope-intercept form. The first equation is y = two-thirds x minus 4 when written in slope-intercept form. The second equation is 3 x 5 y = 10 when written in slope-intercept form.
Mathematics
2 answers:
Delicious77 [7]2 years ago
4 0

Answer:

c

Step-by-step explanation:

Nutka1998 [239]2 years ago
3 0

Answer:

Option C) The first equation is y= 2/3x-4 when written in slope-intercept form .

Step-by-step explanation:

We have

2x - 3y = 12  \:  >  \: first \: equation

The first equation is in Standard form .

Convert to slope Intercept form .

Isolate the Variable y .

3y = 2x - 12

Divide by 3 both sides .

y =  \frac{2}{3} x - 4

y =  -  \frac{3}{5} x + 2 > second \: equation

The second equation is in slope Intercept form .

Convert to standard form

Multiply by 5 both sides to remove the fraction .

5y =  - 3x + 10

3x + 5y = 10

<h3><u>Verify each statement :- </u></h3>

<h3>• case A) Both equations are in slope-intercept form.</h3>

  • False

  • Because only the second equation is in slope -intercept form

<h3>• case B) Neither equation is in slope-intercept form .</h3>

  • False

  • Because, the second equation is in slope -intercept form

<h3>• case C) The first equation is y= 2/3x-4 when written in slope-intercept form</h3>

  • True (see the procedure)

<h3>• case D)The second equation is 3x+5y=10 when written in slope-intercept form.</h3>

  • False

  • Because, the second equation is 3x+5y=10 when written in standard form .

<h2>I hope this helps you !! </h2>
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