Question

Solve graphically the system of equations x+y=3 ; 3x-2y=4

Answer 1

x + y = 3

When x = 0,

0 + y = 3

y = 3

Coordinates = (0, 3)

When x = 3

3 + y = 3

y = 0

Coordinates = (3, 0)

graph plotted in red in attachment

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3x - 2y = 4

When x = 0

3(0) - 2y = 4

2y = -4

y = -2

Coordinates = (0, -2)

When x = 2

3(2) - 2y = 4

2y =2

y = 1

Coordinates = (2, 1)

graph plotted in blue in attachment

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Solve:

The intersection point as shown on the graph is (2, 1)

Answer: x = 2, y = 1

Answer 2

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