Solve the following pair of equations by substitution method: 2x+3y−10=0 y=5− 3 2 x

# Solve the following pair of equations by substitution method:

1. A
x = 1 and y = 2
2. B
x = 2 and y = 2
3. C
x = 3 and y = 4
4. D
x = 2 and y = 1

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### Solution:

Given pair of linear equations are   and  . We need to find the value of x and y.
In substitution method, we substitute the value of one variable into another equation.
equations.
We have,

Now substituting the value of y from equation (ii), to equation (i),

Now, substituting the value of x in equation (ii), we have,

Thus, the solution of system is x = 2, y = 2.
Therefore, option 2 is correct.

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