Chapter 2: Q9AR. (page 69)

Solve each system of equations by the substitution method.
3x + y = 19
2x – 5y = –10

Short Answer

Expert verified

The solution of given system of equations is x = 5, y = 4.

Step by step solution

Step 1. Substitute value of one variable from one equation to another.

Add on both the sides of 3x + y = 19 and simplify.

3x + y – 3x = 19 – 3x

y = 19 – 3x

Substitute 19 – 3x for into 2x – 5y = – 10 and simplify.

2x – 5(19 – 3x) = –10

2x – 95 + 15 = –10

17x = 85

Step 2. Solve for one variable.

Divide each side of the equation obtained in step 2 by 17 to find the value of x.

$\begin{matrix} \frac{17 x}{17} = \frac{85}{17} \\ x = 5 \end{matrix}$

Step 3. Solve for another variable.

Substitute 5 for x into 3x+ y= 19, to find the value of y.

$\begin{matrix} 3 \times 5 + y = 19 \\ 15 + y = 19 \\ y = 4 \end{matrix}$

Therefore, the solution of given system of equations is x = 5, y = 4.

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Solve each system of equations by the substitution method.
3x + y = 19
2x – 5y = –10

Short Answer

Step by step solution

Step 1. Substitute value of one variable from one equation to another.

Step 2. Solve for one variable.

Step 3. Solve for another variable.

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Solve each system of equations by the substitution method.3x + y = 192x – 5y = –10

Short Answer

Step by step solution

Step 1. Substitute value of one variable from one equation to another.

Step 2. Solve for one variable.

Step 3. Solve for another variable.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Geometry

Decision Maths

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve each system of equations by the substitution method.
3x + y = 19
2x – 5y = –10