−6x + 3y = 18 4x − 3y = 6 is this infinite solution

no

Step-by-step explanation:

Given the 2 equations

- 6x + 3y = 18 → (1)

4x - 3y = 6 → (2)

Adding the 2 equations term by term eliminates the y- term , that is

- 2x = 24 ( divide both sides by - 2 )

x = - 12

Substitute x = - 12 into either of the 2 equations and solve for y

Substituting into (2)

4(- 12) - 3y = 6

- 48 - 3y = 6 ( add 48 to both sides )

- 3y = 54 ( divide both sides by - 3 )

y = - 18

There is 1 solution (- 12, - 18 )

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

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