Equation is formed with the help of two expressions. The value of (x, y) is (five sevenths, 4).
An equation is formed when two expressions are equated with the help of an equal sign.
The two of the given equations are:
7x − 2y = −3 ........... equation 1
14x + y = 14 ............ equation 2
Now, multiply the first equation with -2, therefore, we get
[tex]-2(7x - 2y) = -2 \times -3\\\\-14x+4y = 6...........equation\ 3[/tex]
Further, adding the two-equation(equation 3 and 2) we will get,
[tex](-14x+4y)+14x + y = 14+6\\\\-14x+4y+14x+y=20\\\\5y=20\\\\y= 4[/tex]
Now, substitute the value of y in any of the equations,
[tex]7x - 2y = -3\\\\7x - 2(4) = -3\\\\7x - 8 = -3\\\\7x = -3+8\\\\x=\dfrac{5}{7}[/tex]
Hence, the value of (x, y) is (five sevenths, 4).
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