A system of equations modeling the given conditions. Then solve

Harlen Pritchard

Harlen Pritchard

Answered question

2021-08-21

A system of equations modeling the given conditions. Then solve the system by addition method and find two numbers.
The system of equations is given by
x2=y+83
x+22=y+113

Answer & Explanation

funblogC

funblogC

Skilled2021-08-22Added 91 answers

We can solve these equations in the following steps.
Step 1:
First of all, we need to write the given equations in the simplified form.
Step 2:
For this, we simplify equation (1) by cross multi[lying
3x=2(y+8)
3x=2y+16 3) 3x2y=16
Step 3:
Secondly, we simplify equation (2) by cross multiplying
3(x+2)=2(y+11)
3x+6=2y+22
4) 3x2y=16
Since the simplified forms of both the equations are same, therefore there are infinite solutions.
Hence, the given system of equations is dependent.

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