Harlen Pritchard

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

$\frac{x}{2}=\frac{y+8}{3}$

$\frac{x+2}{2}=\frac{y+11}{3}$

The system of equations is given by

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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

$3x=2(y+8)$

$\Rightarrow 3x=2y+16$
3) $\Rightarrow 3x-2y=16$

Step 3:

Secondly, we simplify equation (2) by cross multiplying

$3(x+2)=2(y+11)$

$\Rightarrow 3x+6=2y+22$

4)$\Rightarrow 3x-2y=16$

Since the simplified forms of both the equations are same, therefore there are infinite solutions.

Hence, the given system of equations is dependent.

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

Step 3:

Secondly, we simplify equation (2) by cross multiplying

4)

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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