Question

(x+y=3 (3x+2y=14 what is the coordinates for this problem

Answer 1

3x - 2y + 2y > -14 + 2y 

3x + 0 > -14 + 2y 

3x > -14 + 2y 

3x + 14 > -14 + 14 + 2y 

3x + 14 > 0 + 2y 

3x + 14 > 2y 

(3x + 14)/2 > 2y/2 

(3x + 14)/2 > y*(2/2) 

(3x + 14)/2 > y*(1) 

(3x + 14)/2 > y 

y < (3x + 14)/2 

y < 3x/2 + 14/2 

y < 3x/2 + 7 

y < (3/2)*x + 7 

“y” is LESS THAN (3/2)*x + 7 

the slope intercept form of the inequality is: y < (3/2)*x + 7 


STEP 2: Temporarily change the inequality into an equation by replacing the < symbol with an = symbol. 

y < (3/2)*x + 7 

y = (3/2)*x + 7 


STEP 3: Prepare the x-y table using the equation from Step 2. 

Using the slope intercept form of the equation from Step 2, choose a value for x, and then compute y for at least three points. 

Although you could plot the graph with just two sets of x-y coordinates, you should compute at least three different sets of coordinates points to ensure you have not made a mistake. All three x-y coordinates must lie on the same straight line. If they do not, you have made a mistake. 

You can choose any value for x. 


For example, (arbitrarily) choose x = -2 

If x = -2, 

y = (3/2)*x + 7 

y = (3/2)*(-2) + 7 

y = 4