Answer:
x:3 y:2
Step-by-step explanation:
To solve the system of equations:
1. \( x + y = 5 \)
2. \( 2x - y = 4 \)
We can use either the substitution method or the elimination method. Here, we'll use the elimination method.
First, we'll add the two equations together to eliminate \( y \):
\[
(x + y) + (2x - y) = 5 + 4
\]
Simplify this:
\[
x + y + 2x - y = 9
\]
\[
3x = 9
\]
Solve for \( x \):
\[
x = \frac{9}{3} = 3
\]
Next, substitute \( x = 3 \) back into the first equation to find \( y \):
\[
3 + y = 5
\]
Solve for \( y \):
\[
y = 5 - 3 = 2
\]
So the solution to the system of equations is:
\[
x = 3, \quad y = 2
\]
Step-by-step explanation:
elimination method .
Solution :- → x + y = 5 ----------- Eqn.(1) → 2x - y = 4 ----------- Eqn.(2) ...
→ y = 2 . putting value of y in Eqn.(1) now, → x + 2 = 5. ...
→ x = 3 .
Hence, x is equal to 3 and y is equal to 2.
