Question

X+2y=3,3x+4y=1 find X and y​

Answer 1

Answer: X=-2 & Y=5/2

Explanation:

STEP 1: Find the given equations

x+2y=3 and 3x+4y=1

STEP 2: Try to equate any of the terms by multiplying either of the equations.

HERE, we can multiply the equation x+2y=3 by 2

WE GET, 2x+4y=6 and we can see that 4y terms is common in both te equations

STEP 3: cancel out the matching terms by simple addition or subtraction of the equations.

after solving we get, x=-2.

STEP 4: put the value of x in any of the two quations to get the value of y.

WE GET, the value of y as 5/2.

check the attached image for a better understanding.

Answer 2

To find the values of x and y in the system of equations:

Equation 1:
`x + 2y = 3`

Equation 2:
`3x + 4y = 1`

We can solve the system using the method of substitution or elimination. Here, I will demonstrate the method of substitution:

Step 1: Solve Equation 1 for x:

`x = 3 - 2y`

Step 2: Substitute the value of x from Step 1 into Equation 2:

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

Step 3: Simplify and solve for y:

`9 - 6y + 4y = 1`

`-2y = 1 - 9`

`-2y = -8`

`y = (-8)/(-2)`

`y = 4`

Step 4: Substitute the value of y back into Equation 1 to find x:

`x + 2(4) = 3`

`x + 8 = 3`

`x = 3 - 8`

`x = -5`

Therefore, the solution to the system of equations is:

`x = -5`

`y = 4`

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