Question

draw the graph of two lines, whose equations are 3x-2y=4 and x+y-3=0 on the same graph paper and find the coordinates of the point where two lines intersect

Answer 1

3x-2y=4 .....eq1

x+y=3 ......eq2

multiply eq2 by 3

=3(x+y=3)

=3x+3y=9 ......eq3

subtract eq1 from eq2

5y=5

y=1 ......eq4

putting eq4 in eq2

x+1=3

x=2

hence common solution is (2,1)

Answer 2

3x - 2y = 4

Let x = 0

3(0)-2y=4

0-2y=4

y=-2

Let y = 0

3x-2(0)=4

3x-0=4

x=1.3

Coordinates (0,-2) and (1.3,0)

x + y - 3 = 0

Let x= o

0+y-3=0

y=3

Let y = 0

x+0-3=0

x=3

Coordinates (0,3) and (3,0)

Intersection is at (2,1)