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Dominique needs to solve the system of equations by graphing. Which statement is true about the system?

2x-3y=12
y=-3/5x+2

A)Both equations are in slope-intercept form.
B)Neither equation is in slope-intercept form.
C)The first equation is y= 2/3x-4 when written in slope-intercept form.
D)The second equation is 3x+5y=10 when written in slope-intercept form.

Respuesta :

calculista

Answer:

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

Step-by-step explanation:

we have

[tex]2x-3y=12[/tex] ----> First equation

The first equation is in standard form

Convert to slope intercept form

Isolate the variable y

[tex]3y=2x-12[/tex]

Divide by 3 both sides

[tex]y=\frac{2}{3}x-4[/tex]

[tex]y=-\frac{3}{5}x+2[/tex] ----> Second equation

The second equation is in slope intercept form

Convert to standard form

Multiply by 5 both sides to remove the fraction

[tex]5y=-3x+10[/tex]

[tex]3x+5y=10[/tex]

Verify each statement

case A) Both equations are in slope-intercept form.

False

Because only the second equation is in slope -intercept form

case B) Neither equation is in slope-intercept form

False

Because, the second equation is in slope -intercept form

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

True (see the procedure)

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

False

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

coolbird21

Answer:

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

Step-by-step explanation:

I took the test its is correct.

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