Question

Solve the system using elimination.

x plus 7 y
equals
22
4 x minus 7 y
equals
negative 17
The solution is
nothing.
​(Simplify your answer. Type an ordered​ pair.)

Answer 1

After simplifying we get (x,y) as (1,3).

Explanation:

Given:

`x+7y=22`,

`x-7y=-17`

We need to use elimination method to solve the and simplify the equations.

Solution;

Let
`x+7y=22` ⇒ equation 1

Also Let
`4x-7y=-17`⇒ equation 2

Now by solving the equation we get;

first we will Add equation 2 from equation 1 we get;

`(x+7y)+(4x-7y)=22+(-17)\\\\x+7y+4x-7y=22-17\\\\5x=5`

Now Dividing both side by 5 using division property of equality we get;

`(5x)/(5)=(5)/(5)\\\\x=1`

Now Substituting the vale of x in equation 1 we get;

`x+7y=22\\\\1+7y=22`

subtracting both side by 1 using subtraction property of equality we get;

`1+7y-1=22-1\\\\7y=21`

Now Dividing both side by 7 using division property of equality we get;

`(7y)/(7)=(21)/(7)\\\\y=3`

Hence we can say that, After simplifying we get (x,y) as (1,3).