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Which statements about this system of equations are true? CHECK ALL THAT APPLY

x + 6 y = 16
8 x - 6 y = -2.
→The x-variable will be eliminated when adding the system of equations.

→The y-variable will be eliminated when adding the system of equations.

→The sum of the system of equations is Negative 8 x = 14.

→x = 2

→y = 3

→There is only one solution to the system of equations.

Respuesta :

True staments are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations

Solution:

Given system of equations are:

x + 6y = 16 ----- eqn 1

8x - 6y = -2 ---- eqn 2

We have to solve the system of equations

When we add eqn 1 and eqn 2, then y term will get eliminated

Let us add eqn 1 and eqn 2

x + 6y + 8x - 6y = 16 - 2

6y and -6y will get eliminated

Thus, y-variable will be eliminated when adding the system of equations

x + 8x = 14

9x = 14

x = 1.55

Substitute x = 1.55 in eqn 1

1.55 + 6y = 16

6y = 16 - 1.55

6y = 14.45

y = 2.408

Thus the solution is x = 1.55 and y = 2.408

There is only one solution to the system of equations

rmeche9979

Answer:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations

Solution:

Given system of equations are:

x + 6y = 16 ----- eqn 1

8x - 6y = -2 ---- eqn 2

We have to solve the system of equations

When we add eqn 1 and eqn 2, then y term will get eliminated

Let us add eqn 1 and eqn 2

x + 6y + 8x - 6y = 16 - 2

6y and -6y will get eliminated

Thus, y-variable will be eliminated when adding the system of equations

x + 8x = 14

9x = 14

x = 1.55

Substitute x = 1.55 in eqn 1

1.55 + 6y = 16

6y = 16 - 1.55

6y = 14.45

y = 2.408

Thus the solution is x = 1.55 and y = 2.408

There is only one solution to the system of equations

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