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How do I find the pairs for the solution 6x+4y=16

How do I find the pairs for the solution 6x+4y=16-example-1
User Nicolas Acosta
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1 Answer

18 votes
18 votes

we have the equation

6x+4y=16

Remember that

If an ordered pair is a solution to the given equation, then the ordered pair must satisfy the given equation

so

Verify each ordered pair

N 1 (4,0)

For x=4 and y=0

substitute in the given equation

6(4)+4(0)=16

12=16 is not true

the ordered pair is not a solution

N 2 (-10,-9)

For x=-10 and y=-9

6(-10)+4(-9)=16

-60-36=16 is not true

the ordered pair is not a solution

N 3 (2,1)

For x=2 and y=1

6(2)+4(1)=16

12+4=16

16=16 is true

the ordered pair is a solution

N 4 (8,-8)

For x=8 and y=-8

6(8)+4(-8)=16

48-32=16

16=16 is true

the ordered pair is a solution

N 5 (-10,19)

For x=-10 and y=19

6(-10)+4(19)=16

-60+76=16

16=16 is true

the ordered pair is a solution

User Shnatsel
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