Question

X-y=4 and 1/2x+1/2y=18

Answer 1

value of x = 20 and value of y=16

Solution set=(20,16)

Step-by-step explanation:

We need to solve system of equations:

$x-y=4\\\frac{1}{2}x+ \frac{1}{2}y=18$

Let:

$x-y=4\,\,\,eq(1)\\\frac{1}{2}x+ \frac{1}{2}y=18\,\,\,eq(2)$

Simplifying equation 2:

$\frac{1}{2}x+ \frac{1}{2}y=18$

Taking LCM on left side:

$\frac{x+y}{2}=18$

$x+y=18*2$

$x+y=36\,\,\,eq(3)$

Adding eq(1) and eq(3)

$x-y=4\\x+y=36\\-----\\2x=40\\x=40/2\\x=20$

Putting value of x in eq(1) and finding y:

$x-y=4\\20-y=4\\-y=4-20\\-y=-16\\y=16$

So, value of x = 20 and value of y=16

Solution set=(20,16)

Keywords: System of equations

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