Question

solve the following equation using reduction method x+3y=2 & 3x+5y=4​

Answer 1

Answer:

THE BIGGER NUMBER= 3X + 5Y = 4

SO,

=3x(-1) + 5y(-1) = 4(-1)

TO THE WHOLE EQUATION

SO,

NEW EQUATION = 2x + 4y = 3

NOW,

=2x(-1) + 4y(-1) = 3(-1)

NEXT NEW EQUATION

= x + 3y = 2

Answer 2

The value of x and y are $\dfrac{1}{2}\ and\ \dfrac{1}{2}$

Step-by-step explanation:

Since we have given that

$x+3y=2\\\\3x+5y=4$

According to question, we get that

$3(x+3y=2)=3x+9y=6\\\\3x+5y=4$

Using the elimination method, we get that

$3x+9y=6\\\\3x+5y=4\\\\--------------------\\\\4y=2\\\\y=\dfrac{1}{2}$

So, the value of x would be

$x+3y=2\\\\x+\dfrac{3}{2}=2\\\\x=2-\dfrac{3}{2}\\\\x=\dfrac{4-3}{2}=\dfrac{1}{2}$

Hence, the value of x and y are $\dfrac{1}{2}\ and\ \dfrac{1}{2}$

# learn more:

How to solve this equation 3x - 4 + 5y + 2 - 3y - x

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