Question

5x 2y = 7 y = x 1 What is the solution set of the given system? {(5/7, 12/7)} {(12/7, 5/7)} {(9/7, 16/7)} {(16/7, 9/7)}.

Answer 1

The correct option is A, which is {(5/7, 12/7)}.

Given to us,

equation 1, 5x + 2y = 7,

equation 2, y = x+1

To solve the question, as given in equation 2 the value of y which is equal to x+1, Substitute the value of  y in equation 1,

$5x + 2y = 7$

substituting,

$5x + 2(x+1) = 7\\5x+2x+2=7\\7x+2=7\\7x=7-2\\7x=5\\\\x= \dfrac{5}{7}$

Now, we have the value of x, substitute the value in equation 2, to get y,

$y=x+1\\y=(\frac{5}{7})+1$

Taking LCM,

$y=\frac{5+(1\times 7)}{7} \\y= \dfrac{12}{7}$

Hence, the correct option is A, which is {(5/7, 12/7)}.

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