Answer:
(1,3)
Step-by-step explanation:
Given : 2x+3y=11 ---(a)
-4x+2y=2---(b)
Solution:
Multiply equation a by -2 both sides.
So, equation becomes : -4x-6y= - 22
Now , Subtract the equation b from resultant equation :
⇒(-4x-6y+22)-(-4x+2y-2)
⇒-4x-6y+22+4x-2y+2=0
⇒-8y+24=0
⇒-8y=-24
⇒[tex]y=\frac{-24}{-8}[/tex]
⇒y = 3
Now to find x put value of y in equation a
⇒2x+3*3=11
⇒2x+9=11
⇒2x=2
⇒x=1
Thus the solution is (x,y)=(1,3)
Answer:
(1,3) is the solution of the system of linear equations.
Step-by-step explanation:
we are given system of linear equations as:
2x + 3y = 11------(1)
and -4x + 2y = 2------(2)
on solving the system of linear equations by the elimination method we have:
multiply equation (1) by 2 and add equation (1) and (2) we have:
4x+6y=22
-4x+2y=2
8y=24
⇒ y=3 ( since on dividing both sides by 8)
now on putting value of y in equation (1) we have:
2x+3×3=11
2x=11-9
2x=2
⇒ x=1
Hence, the solution is (1,3).
