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

Cheyanne Leigh

Cheyanne Leigh

Answered question

2021-02-13

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

Answer & Explanation

bahaistag

bahaistag

Skilled2021-02-15Added 100 answers

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),
8=7×3+8
8=21+8
8=29
which is an absurd result since 829  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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