Chapter 4: Q75. (page 188)

Solve the system of equation.
$\begin{array}{l} 3 x - 2 y = - 2 \\ 4 x + 7 y = 65 \end{array}$

Short Answer

Expert verified

The solution is $x = 4, y = 7$ .

Step by step solution

Step 1- Consider the equation.

Consider the system of equation

$\begin{array}{l} 3 x - 2 y = - 2 (1) \\ 4 x + 7 y = 65 (2) \end{array}$

Step 2- Step description.

Multiply the equation (2) by 3 and the equation (1) by 4.

$\begin{array}{l} 12 x - 8 y = - 8 (3) \\ 12 x + 21 y = 195 (4) \end{array}$

Subtract the equation (3) from the equation (4) as follows:

$\begin{array}{l} 12 x + 21 y - (12 x - 8 y) = 195 + 8 \\ 12 x + 21 y - 12 x + 8 y = 203 \\ 29 y = 203 \\ y = 7 \end{array}$

Step 3- Step description.

Substitute the value of y in equation (1).

$\begin{array}{l} 3 x - 2 y = - 2 \\ 3 x - 2 (7) = - 2 \\ 3 x - 14 = - 2 \\ 3 x = 12 \\ x = 4 \end{array}$

Therefore, the solution is $x = 4, y = 7$ .

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Solve the system of equation.
$\begin{array}{l} 3 x - 2 y = - 2 \\ 4 x + 7 y = 65 \end{array}$

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.3x−2y=−24x+7y=65

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

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Solve the system of equation.
$\begin{array}{l} 3 x - 2 y = - 2 \\ 4 x + 7 y = 65 \end{array}$