Chapter 2: Q16. (page 69)

Solve each system by the method of addition or subtraction.
7y = 2x + 35
3y = 2x + 15

Short Answer

Expert verified

The solution of given system of equations is x = 0, y = 5.

Step by step solution

Step 1. Description of step.

Subtract $3 y = 2 x + 15$ from $7 y = 2 x + 35$ and simplify.

$7 y - 3 y = (2 x + 35) - (2 x + 15)$

$4 y = 20$

Step 2. Description of step.

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

$\frac{4 y}{4} = \frac{20}{4}$

$y = 5$

Step 3. Description of step.

Substitute for y into $3 y = 2 x + 15$ , to find the value of x.

$3 \times 5 = 2 x + 15$

$15 = 2 x + 15$

$2 x = 0$

$x = 0$

Therefore, the solution of given system of equations is $x = 0$ , $y = 5$ .

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Solve each system by the method of addition or subtraction.
7y = 2x + 35
3y = 2x + 15

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.7y = 2x + 353y = 2x + 15

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Solve each system by the method of addition or subtraction.
7y = 2x + 35
3y = 2x + 15