Question

Solve the following system of equations graphically.
y = 2x - 3
x + y = 3

Answer 1

possible solutions are:
{(2, 1)}
{(1, 2)}
{(-1, -2)}
{(-2, -1)}

Answer 2

find the intercepts

y = 2x - 3 x= 0 gives y-intercept y = -3
y = 0 gives x intercept x = 3/2

x + y = 3 x = 0 gives y-intercept y = 3
y = 0 gives x-intercept x = 3

plot (3/2, 0) and (0, -3) draw a line through the 2 points

plot (0, 3) and (3, 0) draw a line through these 2 points...


where the lines intersect is the solution to the 2 lines

Answer 3

(2,1) ??

Answer 4

I haven't graphed the lines... I'm just giving you the method to graph them

Answer 5

tha's it!! THank you!!!