Answer:
After simplifying we get (x,y) as (1,3).
Step-by-step explanation:
Given:
[tex]x+7y=22[/tex],
[tex]x-7y=-17[/tex]
We need to use elimination method to solve the and simplify the equations.
Solution;
Let [tex]x+7y=22[/tex] ⇒ equation 1
Also Let [tex]4x-7y=-17[/tex]⇒ equation 2
Now by solving the equation we get;
first we will Add equation 2 from equation 1 we get;
[tex](x+7y)+(4x-7y)=22+(-17)\\\\x+7y+4x-7y=22-17\\\\5x=5[/tex]
Now Dividing both side by 5 using division property of equality we get;
[tex]\frac{5x}{5}=\frac{5}{5}\\\\x=1[/tex]
Now Substituting the vale of x in equation 1 we get;
[tex]x+7y=22\\\\1+7y=22[/tex]
subtracting both side by 1 using subtraction property of equality we get;
[tex]1+7y-1=22-1\\\\7y=21[/tex]
Now Dividing both side by 7 using division property of equality we get;
[tex]\frac{7y}{7}=\frac{21}{7}\\\\y=3[/tex]
Hence we can say that, After simplifying we get (x,y) as (1,3).
