Explained: "X+2y=23x+4y=16"

Quophi Khaled

Answered question

2022-08-29

X+2y=2

3x+4y=16

nick1337

Expert2023-06-17Added 777 answers

To solve the system of equations:

x + 2 y = 2

3 x + 4 y = 16

We can use the method of substitution or elimination. Here, I'll demonstrate the method of substitution:
From the first equation, we can solve for

x

in terms of

y

x = 2 - 2 y

Now, substitute this expression for

x

in the second equation:

3 (2 - 2 y) + 4 y = 16

Simplifying this equation gives:

6 - 6 y + 4 y = 16

Combine like terms:

- 2 y + 6 = 16

Subtract 6 from both sides:

- 2 y = 10

Divide both sides by -2:

y = - 5

Now, substitute this value of

y

back into the first equation to solve for

x

x + 2 (- 5) = 2

x - 10 = 2

Add 10 to both sides:

x = 12

Therefore, the solution to the system of equations is

x = 12

and

y = - 5

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