Question

Solve the system using elimination.

Answer 1

Answer:

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

Step-by-step 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;

$\frac{5x}{5}=\frac{5}{5}\\\\x=1$

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;

$\frac{7y}{7}=\frac{21}{7}\\\\y=3$

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