Chapter 2: Q17. (page 69)

Solve each system by the method of addition or subtraction.
$2 y = 3 x - 1$
$2 y = x + 21$

Short Answer

Expert verified

The solution of given system of equations is $x = 11$ , $y = 16$ .

Step by step solution

Step 1. Description of step.

Subtract $2 y = x + 21$ from $2 y = 3 x - 1$ and simplify.

$2 y - 2 y = (3 x - 1) - (x + 21)$

$0 = 2 x - 22$

$2 x = 22$

Step 2. Description of step.

Divide each side of the equation obtained in step 1 by to find the value of x.

$\frac{2 x}{2} = \frac{22}{2}$

$x = 11$

Step 3. Description of step.

Substitute for into $2 y = 3 x - 1$ and simplify.

$2 y = 3 \times 11 - 1$

Step 4. Description of step.

Divide each side of the equation obtained in step 3 by to find the value of y.

$\frac{2 y}{2} = \frac{32}{2}$

$y = 16$

Therefore, the solution of given system of equations is $x = 11$ , $y = 16$ .

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Solve each system by the method of addition or subtraction.
$2 y = 3 x - 1$
$2 y = x + 21$

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Description of step.

Step 4. Description of step.

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Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Description of step.

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Solve each system by the method of addition or subtraction.
$2 y = 3 x - 1$
$2 y = x + 21$