we have ordered pair as [tex](x,y)=(4,4)[/tex] .
Step-by-step explanation:
Here we have , to Use the elimination method to solve the given system of equations your answer as an ordered pair (x, y). 5x-3y = 8 and , 2x + 2y = 16 . Let's find out:
We have ,
[tex]5x-3y=8[/tex] ...............(1)
[tex]2x+2y=16[/tex] ................(2)
Let's Multiply equation (2) by 3 and , equation (1) by 2 , and add both:
⇒ [tex]2(5x-3y) + 3(2x + 2y) = 2(8)+3(16)[/tex]
⇒ [tex](10x-6y) + (6x + 6y) = (16)+(48)[/tex]
⇒ [tex]16x =64[/tex]
⇒ [tex]x =4[/tex]
Putting value of [tex]x =4[/tex] in [tex]2x+2y=16[/tex] we get:
⇒ [tex]2(4)+2y=16[/tex]
⇒ [tex]2y=8[/tex]
⇒ [tex]y=4[/tex]
Therefore , we have ordered pair as [tex](x,y)=(4,4)[/tex] .
