Solve the system by elimination 2x - 2y = 6 and 3x + 2y = 9

X=3,y=0

Step-by-step explanation:

This is elimination method which is under the topic simultaneous equation

2x-2y=6...(1)

3x+2y=9...(2)

Add (1) and (2)

It gives

5x=15

Make x the subject of formula by dividing both sides by 5

x=3

Let's substitute the value of x in (2)

3(3)+2y=9

9+2y=9

Collect like terms

2y=9-9

2y=0

y=0

Therefore x is 3,y is 0

(3,0)

Step-by-step explanation:

2x - 2y = 6

3x + 2y = 9

We are using elimination.  Add the two equations together to eliminate y

2x - 2y = 6

3x + 2y = 9

5x +0   = 15

5x=15

Divide each term by 5

5x/5 = 15/5

x = 3

Now we need to find y

3x+2y =9

3(3) +2y = 9

9+2y =9

Subtract 9 from each side

9-9 +2y =9-9

2y =0

Divide each side by 2

2y/2=0/2

y=0

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is