Question

Helppp can someone solve this please

Answer 1

`\displaystyle x=-15`

Explanation:

Solution Of A System Of Equations

A system of linear equations is given as

`\displaystyle \left\{\begin{matrix}ax+by=c\\ dx+ey=f\end{matrix}\right.`

There are many methods to solve them. We will use the method of reduction

The given system is

`\displaystyle \left\{\begin{matrix}2x+3y=45\\ x+y=10\end{matrix}\right.`

Multiplying the second equation by -3

`\displaystyle \left\{\begin{matrix}2x+3y=45\\ -3x-3y=-30\end{matrix}\right.`

Adding the resulting equations

`\displaystyle -x=15`

`\displaystyle x=-15`