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

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.

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