Question

Draw the graph of the equation 2x- y=3 and 3x+2y=1 Find the point of intersection of these graphs​

Answer 1

Answer:

point of intersection is (1,-1)

Step-by-step explanation:

3x+2y=1 ................(eqn 1)

2x - y = 3

2x - 3 = y ……….…...(eqn 2)

substitute (eqn 2) in (eqn I),

3x+2y= 1

3x+2(2x-3)=1

3x+4x-6=1

3x+4x-6-1=0

7x-7=0

7x= 7

x= 1 ...........(eqn3)

substitute (eqn3) in (eqn2)

2x-3= y

2(1)-3 = y

2-3= y

y= -1 ...........(eqn 4)

therefore, the point of intersection is (1,-1)