Question

# Identify the correct answer which satisfies the linear equations: $$3x + 7y = 14$$ and $$2x + 7y = 21$$

A
(7,5)
B
(7,5)
C
(7,5)
D
(7,5)

Solution

## The correct option is A $$(-7, 5)$$$$3x + 7y = 14$$ ----- (1)$$2x + 7y = 21$$ ----- (2)Substitute the values of first option $$x = -7$$ and $$y = 5$$ in equations 1 and 2$$3(-7) + 7(5) = 14$$$$-21 + 35 = 14$$$$14 = 14$$$$2(-7) + 7(5) = 21$$$$-14 + 35 = 21$$$$21 = 21$$Therefore, the first option satisfied the linear equations.Likewise substitute the value of second option $$x = 7, y = 5$$$$3(7) + 7(5) = 14$$$$21 + 35 = 14$$$$56 \neq 14$$$$2(7) + 7(5) = 21$$$$14 + 35 = 21$$$$49 \neq 21$$Similarly, check the options to satisfy the linear equation.Here, the first option satisfied the linear equation.The solution is $$(-7, 5)$$Mathematics

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