Solve the following simultaneously equation by using elimination method:
2x+y=5 and 2x + 3y = 3. Plz answer me fast tomorrow is exm
Answers
Step-by-step explanation:
let equation 1= 2x+y=5 and equation two =2x+3y=3
subtract equation one and two,we get
2x+y=5
2x+3y=3
- -. -
-2y=2
y =-2
put value of y in equation 1
2x-2=5
2x=5+2
2x=7
X=7/2
Firstly, We have two simultaneously Equations that are 2x + y = 5 and 2x + 3y = 3.
→ 2x + y = 5
→ y = (5 – 2x) [1]
Now, Putting [1] Equation in second Equation as well.
→ 2x + 3y = 3
→ 2x + 3(5 – 2x) = 3
→ 2x + 15 - 6x = 3
→ 15 - 4x = 3
→ 15 – 3 = 4x
→ 12 = 4x
→ 12/4 = x
→ x = 3
Finally, we have to find the value of other variable by putting value of one Variable in any of the Equation.
→ 2x + y = 5
→ 2 × 3 + y = 5
→ 6 + y = 5
→ y = 5 – 6
→ y = -1
Hence,
The value of x and y are 3 and –1 Respectively.