Question

4x + 2y = 10
x - y = 13
can someone solve this for me step by step please????

Answer 1

Here is how you would solve this system of equations.

`\begin{bmatrix}4x+2y=10\\ x-y=13\end{bmatrix}`

Step 1: Multiply x-y=13 by 4.

`\begin{bmatrix}4x+2y=10\\ 4x-4y=52\end{bmatrix}`

Step 2: Subtract the equations.

`4x-4y=52`

-

`\underline{4x+2y=10}`

`-6y=42`

`\begin{bmatrix}4x+2y=10\\ -6y=42\end{bmatrix}`

Step 3: Solve -6y=42

`y=-7`

For 4x+2y=10 plug in y=-7

`4x+2(-7)=10`

Simplify.

`4x-14=10\\4x-14+14=10+14\\4x=24\\x=6`

Therefore, x=6, y=-7.

Hope this helps.

Answer 2

(6,-7)

Explanation:

if you plug it in:

24-14=10

6+7=13

for the second one, if you have two minuses(6 - -7) you have to switch it to a plus sign (6+7)

hope this helps! :)