Question

Write a system of linear equations that has the ordered pair (1,4) as it's solition

Answer 1

The required system of equations is $x+y=5\\x-y=-3$

Step-by-step explanation:

We need to write a system of linear equations that has the ordered pair (1,4) as it's solution.

It means we need to find  system of linear equations, which after being solved gives x=1 and y=4

Let the system of equations be:

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

I have made equations such that adding x+y gives 5 i,e (1+4=5) and subtracting x-y gives -3 (1-4=-3)

Now solving this system of equations to find value of x:

$x+y=5\,\,eq(1)\\x-y=-3\,\,eq(2)$

Adding eq(1) and eq(2)

$x+y=5\\x-y=-3\\-----\\2x=2\\x=1$

Putting value of x=1 into eq(1) to find value of y

$x+y=5\\1+y=5\\y=5-1\\y=4$

The solution set after solving system of equations is (1,4).

The required system of equations is $x+y=5\\x-y=-3$

Keywords: System of equations

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