Question

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

Answer 1

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.