Question

Solve the following system of equations graphically 2x - 3y = 1 and 3x - 5y = 2
1 point
x = 4 , y = 1
x = -1 , y = -1
x = 2, y = 3
x = 1, y = -1​

Answer 1

Answer:

1. a)2x - 3y =1 solving for x=4, y=1

2×4 - 3×1= 1

8-3=1

5=1( not satisfied )

b)2x - 3y =1 solving for x=-1, y= -1

2×-1- 3× -1 = 1

-2- -3 =1

-2+3 =1

1 =1 ( satisfied )

c)2x -3y =1 solving for x=2, y=3

2×2-3×3 = 1

4-9 =1

-5=1( not satisfied )

d) 2x -3y =1 solving for x=1, y =-1

2× 1 - 3× -1 = 1

2- -3 =1

2+3 =1

5 =1 ( not satisfied )

2.a) 3x - 5y =2 solving for x=4, y=1

3× 4 -5×1 =2

12 -5 =2

7 =2 ( not satisfied )

b) 3x -5y =2 solving for x= -1, y = -1

3× -1 - 5× -1 = 2

-3 - -5 =2

-3 +5 =2

2 =2 ( satisfied )

c) 3x - 5y =2 solving for x =2, y=3

3× 2 - 5× 3 =2

6 - 15 =2

-9 =2 ( not satisfied )

d) 3x - 5y =2 solving for x = 1, y= -1

3× 1 - 5× -1 =2

3- -5 =2

3+5 =2

8 =2 ( not satisfied )

2x -3y =1 and 3x -5y =2 are satisfied by x= -1 and y =-1

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