Question

9x+4y=5 3x-5y=8 elmination methid​

Answer 1

Answer:

y=1 and x=1/9

Step-by-step explanation:

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Answer 2

The solution of equations is (1,-1), i.e x= 1 and y= -1.

Given:

• A pair of linear equations.
• $9x + 4y = 5 ...eq1$ and
• $3x - 5y = 8 ...eq2$

To find:

• Find the solution of equations using the elimination method.

Solution:

Formula/concept to be used:

• Eliminate one variable from both equations and find the value of the other.
• Put the value in another equation and solve for other variable.

Step 1:

Find the value of 'y'.

Multiply eq2 by 3 and subtract both equations.

$3(3x - 5y = 8)$

$9x-15y=24 \\ 9x+4y=5\\(-)\:\:(-)\:\:(-)\\---------\\-19y=19\\----------$

$\bf y = - 1$

Thus,

Value of y is -1.

Step 2:

Find the value of 'x'.

Put the value of y in eq2.

$3x - 5y = 8$

$3x - 5( - 1) = 8$

$3x + 5 = 8$

$3x = 8 - 5$

$3x = 3$

$\bf x = 1$

Thus,

The solution of equations is (1,-1),i.e x= 1 and y= -1.

Learn more:

1) 3x+2y=8 and 2x-y=3 solve pair of linear equation by elimination method

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2) Solve each of the following pairs of equations by the elimination method.1. 8x+ 5y = 9 3x+2y = 4

2. 2x + 3y = 8 4x + 6y ...

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