Question

Draw the graph 2(x-1)+3y = 4

Answer 1

Please see the attachment

Answer 2

2(x - 1) + 3y = 4

2x - 2 + 3y = 4

2x + 3y = 4 + 2

2x + 3y = 6

So,

now the solutions,

Check

x = 0, y = 2

LHS = 2(0) + 3(2)

       = 0 + 6

       = 6 = RHS

∴ LHS = RHS

Check

x = -1.5, y = 3

LHS = 2(-1.5) + 3(3)

       = -3 + 9

       = 6 = RHS

∴ LHS = RHS

Therefore,

x = 0, y = 2 and x = -1.5, y = 3 are the solutions of the given equation.

So,

we can draw the graph using the above data.

[ GRAPH IS IN THE ATTACHED IMAGE ]