Which statements are true the ordered pair (1, 2) and the system of equations? y=−2x+47x−2y=3 HELP ASAP! WILL GIVE BRAINLIEST

Which statements are true the ordered pair 1 2 and the system of equations y2x47x2y3 HELP ASAP WILL GIVE BRAINLIEST class=

Respuesta :

to solve, plug the value of the variables in each equation in the system

(1,2) means x = 1 and y = 2

y = -2x + 4

2 = -2(1) + 4

2 = -2 + 4

2 = 2

the ordered pair is a solution to the first equation

7x - 2y = 3

7(1) - 2(2) = 3

7 - 4 = 3

3 = 3

the ordered pair is a solution for the second equation

Because the ordered pair is a solution for BOTH equations in the system, it is a solution to the system. Therefore, the correct answers are:

"When (1,2) is substituted into the first equation, the equation is true."

"The ordered pair (1,2) is a solution to the system of linear equations."

"When (1,2) is substituted into the second equation, the equation is true."

Hope this helps!

The true statement about the ordered pair about the equation is

  • when (1, 2) is substituted into the system of equation, the equation is true.

  • The ordered pair (1, 2) is a solution to the system of linear equations

  • When (1, 2) is substituted into the second equation, the equation is true.

Given:

y = - 2x + 4 (1)

y = - 2x + 4 (1)7x - 2y = 3 (2)

Ordered pair:

(x, y) = (1, 2)

substitute the ordered pair into the equation

y = -2x + 4 (1)

2 = - 2(1) + 4

2 = -2 + 4

2 = 2

True

7x - 2y = 3 (2)

7(1) - 2(2) = 3

7 - 4 = 3

3 = 3

True

Therefore,

  • when (1, 2) is substituted into the system of equation, the equation is true.

  • The ordered pair (1, 2) is a solution to the system of linear equations

  • When (1, 2) is substituted into the second equation, the equation is true.

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