Question

Solve the simultaneous equations y = x - 5 and y = x + 1 graphically.​

Answer 1

Answer:

Step-by-step explanation:

x−y=−5 ----- (1)

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

From equation (1) assume the value of x and y to satisfy the equation to zero.

x−y+5=0 ------ (3)

Put x=0,y=5 in equation (3)

0−5+5=0

0=0

Again put x=−2,y=3 in equation (3)

−2−3+5=0

−5+5=0

0=0

Now plotting (0, 5), (-2, 3) and joining them, we get a straight line.

From equation (2) assume the value of x and y to satisfy the equation to zero.

x+y−1=0 ----- (4)

Put x=0,y=1 in equation (4)

0+1−1=0

0=0

Again put x=−2,y=3 in equation (4)

−2+3−1=0

−3+3=0

0=0

Plotting (0,1),(−2,3) and joining them, we get another straight line.

These lines intersect at the point (−2,3) and therefore the solution of the equation is x=−2,y=3

solution