Question

Is (3,8) a solution to this system of equations?y=7x+8y=x+1-True-False

Equations
ANSWERED
asked 2021-02-13

Is (3,8) a solution to this system of equations?
\(y=7x+8\)
\(y=x+1\)
-True
-False

Answers (1)

2021-02-15

Step 1 : Analysis
Given :
\(y =7x+8\)
\(y=x+1\)
Step 2 : Simplification
We have,
\(y=7x+8...(1)\)
\(y=x+1...(2)\)
If (3,8) is a solution of the system of equations then x=3 and y=8 must satisfy the equation (1) and (2).
Step 3 : Solution
Substituting \(x=3\) and \(y=8\) in the equation (1),
\(\displaystyle{8}={7}\times{3}+{8}\)
\(8=21+8\)
\(8=29\)
which is an absurd result since \(\displaystyle{8}\neq{29}\)  so (3,8) does not satisfy the equation (1).
Therefore the (3,8) is not a solution to the system of equations.
Answer : False

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