x - 2y = 0 y = 2x - 3
You subsitute. Since, y = 2x - 3, then you fill what y equals in for the y on the top equation.
x - 2 (2x - 3) = 0 :Distribute
x - 4x + 6 = 0 * * :Combine Like Terms
-3x + 6 = 0 :Subtract the 6 over to the 0 -6 -6 **
( -3x = -6 ) ÷ -3 :Now, divide the whole equation by -3
x = 2
Then, you want to get y, so you fill in the x that you got before into the bottom equation.
y = 2 ( 2) - 3 :Now, multiply 2 × 2 (Because of PEMDAS)
y = 4 - 3
***y = 1
*****Your final answer is:
(2, 1)
{ y = 2 x − 3 x − 2 y = 0 S u b s t i t u t e seco n d e q u a t i o n t o f i rs t : x − 2 ( 2 x − 3 ) = 0 x − 4 x + 6 = 0 − 3 x = − 6 ∣ : − 3 x = 2 y = 2 ⋅ 2 − 3 y = 4 − 3 = 1 { x = 2 y = 1
To solve the system of equations, we used the substitution method. After substituting and simplifying, we found that x = 2 and y = 1 . Therefore, the solution is { x = 2 , y = 1 } .
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18 x 5 / 6 = 15 Maaf kalo salah