Determine whether the ordered pair is a solution to the given system of linear equations. 3.(-1,7) {(4x+y=3),(2x-3=y):}}

Determine whether the ordered pair is a solution to the given system of linear equations. 3.(-1,7) {(4x+y=3),(2x-3=y):}}

Question
Equations
asked 2020-11-08
Determine whether the ordered pair is a solution to the given system of linear equations.
3.(-1,7) \(\displaystyle{\left\lbrace\begin{array}{c} {4}{x}+{y}={3}\\{2}{x}-{3}={y}\end{array}\right.}\rbrace\)

Answers (1)

2020-11-09
Given,
\(\displaystyle{\left\lbrace\begin{array}{c} {4}{x}+{y}={3}\\{2}{x}-{3}={y}\end{array}\right.}\)
Step 2
Put x=−1 & y=7 in 4x+y=3, we get
4(−1)+7=3
\(\displaystyle\Rightarrow−{4}+{7}={3}\)
\(\displaystyle\Rightarrow{3}={3}\) which is true.
Now put x=−1 & y=7 in 2x−3=y, we get
2(−1)−3=7
\(\displaystyle\Rightarrow−{2}−{3}={7}\)
\(\displaystyle\Rightarrow−{5}={7}\) which is not true.
Hence the given ordered pair is not the solution of given system of equations.
0

Relevant Questions

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 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 2021-03-29
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 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 2021-05-03
Consider the following system of linear equations:
4x+2y=25
4x-y=-5
If the value of y is 10 what is the value of X for this system:
1.1.25
2.11.25
3.1.45
4.5
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 2020-10-23

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

\(5x+y=8\)

\(x+2y=5\)

asked 2021-02-21
Determine whether the ordered pair is a solution to the given system of linear equations.
2.(1,2) \(\displaystyle{\left\lbrace\begin{array}{c} {3}{x}-{y}={1}\\{2}{x}+{3}{y}={8}\end{array}\right.}\rbrace\)
asked 2021-04-15
Determine whether the given number is a solution of the given equation.
\(\displaystyle{14};{7}-{3}{x}=-{28}\)
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)=
...