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.

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

Step-by-step explanation:

we have

----> First equation

The first equation is in standard form

Convert to slope intercept form

Isolate the variable y

Divide by 3 both sides

----> Second equation

The second equation is in slope intercept form

Convert to standard form

Multiply by 5 both sides to remove the fraction

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

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step-by-step explanation: