Rui Baldwin

2021-02-21

Determine whether the ordered pair is a solution to the given system of linear equations.

2.(1,2)$\{\begin{array}{c}3x-y=1\\ 2x+3y=8\end{array}\}$

2.(1,2)

Leonard Stokes

Skilled2021-02-22Added 98 answers

Step 1

Determine whether the ordered pair is a solution to the given system of linear equations.

Step 2

Consider the system of equations as:

3X−Y=1 .....(1)

2X+3Y=8 .....(2)

Verify if ordered pair (1,2) is solution of (1) and (2).

Substitute X=1 and Y=2 in equation (1).

3(1)-2=1

3-2=1

1=1 (True)

Hence, (1,2) satisfies the equation (1).

Substitute X=1 and Y=2 in equation (2).

2(1)+3(2)=8

2+6=18

8=8 (True)

Hence, (1,2) satisfies the equation (2).

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

Determine whether the ordered pair is a solution to the given system of linear equations.

Step 2

Consider the system of equations as:

3X−Y=1 .....(1)

2X+3Y=8 .....(2)

Verify if ordered pair (1,2) is solution of (1) and (2).

Substitute X=1 and Y=2 in equation (1).

3(1)-2=1

3-2=1

1=1 (True)

Hence, (1,2) satisfies the equation (1).

Substitute X=1 and Y=2 in equation (2).

2(1)+3(2)=8

2+6=18

8=8 (True)

Hence, (1,2) satisfies the equation (2).

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

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