Question

[6.03] Solve the following system of equations.
x - 2y = 6
2x - 4y = 10

Infinitely Many Solutions

No Solutions

(0, 0)

(6, 10)

Answer 1

Hint:

x - 2y = 6

x = 6+2y

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2x - 4y = 10

2(6+2y) - 4y = 10

12 + 4y - 4y = 10

I'll let you finish

Answer 2

what is the answer then

Answer 3

what is 4y-4y

Answer 4

is 0

Answer 5

good

Answer 6

now what

Answer 7

so

12 + 4y - 4y = 10

12 + 0y = 10

12 + 0 = 10

12 = 10

is that true?

Answer 8

is 12 = 10 true?

Answer 9

yes

Answer 10

12 is equal to 10?

Answer 11

are you sure?

Answer 12

no

Answer 13

12 = 10 is false


this means 12 + 4y - 4y = 10 is false for any value of y, so there are no solutions to this equation


this means that there are no solutions to the original system of equations

Answer 14

its is not equal so false

Answer 15

12 = 10 is false because 12 is not equal to 10

it would be true if you had 12 = 12 or 10 = 10

Answer 16

so no solutions

Answer 17

correct

Answer 18

ok

Answer 19

can you help me with this.

The graph below is represented by which system of inequalities?



-x + 3y < 9
y > -2x + 1

-x + 3y 9
y > -2x + 1

-x + 3y < 9
y -2x + 1

None of these systems represent the graph shown.

Answer 20

graph each inequality and see if it matches up with what is given here

Answer 21

I recommend using geogebra to graph the inequalities

Answer 22

ok