Question

Solve the following pair of equations 2x + 5y = 3 and 7x – 2y = 4 by elimination method

Answer 1

hope this answer will help u...

Answer 2

Solution of pair of linear equations 2x + 5y = 3 and 7x – 2y = 4 is (2/3, 1/3).

Given:

• Pair of linear equations.
• $2x + 5y = 3$ and $7x - 2y = 4$

To find:

• Solution of linear equation using Elimination Method.

Solution:

Concept to be used:

In elimination method; firstly equate the coefficient of one variable, then after cancel out that by addition or subtraction; find the value of other variable.

Step 1:

Find the value of x.

Let

$2x + 5y = 3...eq1$

$7x - 2y = 4...eq2$

Multiply eq1 by 2 and eq2 by 5.

$4x + 10y = 6...eq3$

$35x - 10y = 20...eq4$

Add eq3 and eq4.

$4x + 10y = 6 \\ 35x - 10y = 20 \\ - - - - - - - - - \\ 39x = 26$

or

$x = \frac{26}{39}$

or

$\bf x = \frac{2}{3}$

Step 2:

Find the value of y.

Put the value of x in eq1.

$2 \times \frac{2}{3} + 5y = 3$

or

$5y = 3 - \frac{4}{3}$

or

$5y = \frac{9 - 4}{3}$

or

$\bf y = \frac{1}{3}$

Thus,

Solution of linear equations is $\bf \left( \frac{2}{3}, \frac{1}{3} \right)$.

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