Solve grophically
2x+y=8 and x+2y=7
Answers
Step-by-step explanation:
2x−y=−8 ----- (1)
x+2y=−14 ----- (2)
From equation (1) assume the value of x and y to satisfy the equation to zero.
2x−y+8=0 ------ (3)
Put x=0,y=8 in equation (3)
2x−y+8=0
2(0)−8+8=0
−8+8=0
0=0
Again put x=−6,y=−4 in equation (3)
2x−y+8=0
2(−6)−(−4)+8=0
−12+4+8=0
0=0
Now plotting (0, 8), (-6, -4) 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+2y+14=0 ----- (4)
Put x=0,y=−7 in equation (4)
x+2y+14=0
0+2(−7)+14=0
−14+14=0
0=0
Again put x=−6,y=−4 in equation (4)
−6+2(−4)+14=0
−6−8+14=0
0=0
Plotting (0, -7), (-6, -4) and joining them, we get another straight line.
These lines intersect at the point (-6, -4) and therefore the solution of the equation is x=−6,y=−4.

Step-by-step explanation:
I hope this useful thank you
