Chapter 4: Q71. (page 188)

Solve the system of equation.
$\begin{array}{l} x + y = 10 \\ 2 x + y = 11 \end{array}$

Short Answer

Expert verified

The solution is $x = 1, y = 9$ .

Step by step solution

Step 1- Consider the equation.

Consider the system of equation

$\begin{array}{l} x + y = 10 (1) \\ 2 x + y = 11 (2) \end{array}$

Step 2- Step description.

Multiply the equation (1) by 2 such that $2 x + 2 y = 20$ . (3)

Subtract the equation (2) from the equation (3) as follows:

$\begin{array}{l} 2 x + 2 y - (2 x + y) = 20 - 11 \\ 2 x + 2 y - 2 x - y = 20 - 11 \\ y = 9 \end{array}$

Step 3- Step description.

Substitute the value of y in equation (1).

$\begin{array}{l} x + y = 10 \\ x + 9 = 10 \\ x = 10 - 9 \\ x = 1 \end{array}$

Therefore, the solution is $x = 1, y = 9$ .

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Solve the system of equation.
$\begin{array}{l} x + y = 10 \\ 2 x + y = 11 \end{array}$

Short Answer

Step by step solution

Step 1- Consider the equation.

Step 2- Step description.

Step 3- Step description.

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Solve the system of equation.x+y=102x+y=11

Short Answer

Step by step solution

Step 1- Consider the equation.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

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Study anywhere. Anytime. Across all devices.

Solve the system of equation.
$\begin{array}{l} x + y = 10 \\ 2 x + y = 11 \end{array}$