Question

I have just one question, could someone please answer it?? (see linked file)

Answer 1

The solution is x=1 and y=-2

Further explanation:

Given equations are:

$\frac{7}{2}x-\frac{1}{2}y=\frac{9}{2}\\3x-y=5$

Multiplying equation no. 1 with 2 will give us:

$7x-y=9$       Eqn 3

From equation no 2:

$3x-y=5\\-y=5-3x\\y=3x-5$

Putting the value of y in eqn 3

$7x-(3x-5)=9\\7x-3x+5=9\\4x=9-5\\4x=4\\\frac{4x}{4}=\frac{4}{4}\\x=1\\Putting\ x=1\ in\ equation\ 2\\3(1)-y=5\\3-y=5\\-y=5-3\\-y=2\\y=-2$

The solution is x=1 and y=-2

Keywords: Linear equations, Solution set

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