Determine whether the ordered pair is a solution to the given system of linear equations. 2.(1,2) {(3x-y=1),(2x+3y=8):}}

Determine whether the ordered pair is a solution to the given system of linear equations. 2.(1,2) {(3x-y=1),(2x+3y=8):}}

Question
Equations
asked 2021-02-21
Determine whether the ordered pair is a solution to the given system of linear equations.
2.(1,2) \(\displaystyle{\left\lbrace\begin{array}{c} {3}{x}-{y}={1}\\{2}{x}+{3}{y}={8}\end{array}\right.}\rbrace\)

Answers (1)

2021-02-22
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.
0

Relevant Questions

asked 2020-10-23

Determine whether the ordered pair is a solution to the given system of linear equations.
(1,2)
\(\left\{\begin{matrix} 3x−y=1 \\ 2x+3y=8 \end{matrix}\right\}\)

asked 2021-03-12

Determine whether the ordered pair is a solution to the given system of linear equations.
(5,3)
\(x-y=2\)
\(x+y=8\)

asked 2021-03-29
Solve the system. If the system does not have one unique solution, also state whether the system is onconsistent or whether the equations are dependent.
2x-y+z=-3
x-3y=2
x+2y+z=-7
asked 2020-10-23

Determine if (1,3) is a solution to the given system of linear equations.

\(5x+y=8\)

\(x+2y=5\)

asked 2021-06-03
Find the discriminant of each equation and determine whether the equation has (1) two nonreal complex solutions, (2) one real solution with a multiplicity of 2, or (3) two real solutions. Do not solve the equations. \(7x^{2} - 2x - 14 = 0\)
asked 2020-10-23
Determine whether the ordered pair is a solution to the given system of linear equations.
1.(5,3) \(\displaystyle{\left\lbrace\begin{array}{c} {x}-{y}={2}\\{x}+{y}={8}\end{array}\right.}\rbrace\)
asked 2021-04-15
Determine whether the given number is a solution of the given equation.
\(\displaystyle{14};{7}-{3}{x}=-{28}\)
asked 2020-11-08
Determine whether the ordered pair is a solution to the given system of linear equations.
3.(-1,7) \(\displaystyle{\left\lbrace\begin{array}{c} {4}{x}+{y}={3}\\{2}{x}-{3}={y}\end{array}\right.}\rbrace\)
asked 2021-03-10

A system of linear equations is given below.
\(2x+4y=10\)
\(\displaystyle-{\frac{{{1}}}{{{2}}}}{x}+{3}={y}\)
Find the solution to the system of equations.
A. (0, -3)
B. (-6, 0)
C. There are infinite solutions.
D. There are no solutions.

asked 2021-03-26
Solve the given system of linear equations.
\(\displaystyle{\frac{{{1}}}{{{2}}}}{x}-{\frac{{{3}}}{{{4}}}}{y}={0}\)
8x-12y=0
(x,y)=
...