Question

solve the equation by the elimination
method 3x+4y =10 and 2x - 2y =12
​

Answer 1

Answer:

$x=\frac{34}{7},\\y=\frac{-8}{7}$

Step-by-step explanation:

Given pair of equations:

3x+4y=10---(1)

2x-2y=12-----(2)

/* Multiply equation (2) by 2, and add equation (1), we get

4x-4y=24

3x+4y=10

____________

7x = 34

_____________

$x =\frac{34}{7}$

Now , substitute x value in equation (1) , we get

$3\times \frac{34}{7}+4y=10$

$\implies \frac{102}{7}+4y=10$

$\implies 4y =10-\frac{102}{7}$

$\implies 4y =\frac{70-102}{7}$

$\implies y =\frac{-32}{4\times 7}$

$\implies y =\frac{-8}{7}$

Therefore,

$x=\frac{34}{7},\\y=\frac{-8}{7}$

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