Question

Can somebody help me with question number 4?

Answer 1

nswer:

`\begin{gathered} x\text{ = -4} \\ y\text{ = 3} \end{gathered}`

Step-by-step explanation:

ere, we want to solve the syastem of linear equations simultaneously by elimination

We have this as:

`\begin{gathered} -4x+\text{ 3y = 25} \\ 6x-5y\text{ = -39} \end{gathered}`

We start by multiplying the first equation by 6 and the second by 4. We have this as:

`\begin{gathered} -24x\text{ + 18y = 150} \\ 24x-20y\text{ = -156} \end{gathered}`

Add both equations as follows:

`\begin{gathered} -2y\text{ = -6} \\ y\text{ = }(-6)/(-2)\text{ = 3} \end{gathered}`

To get x, we multiply the first equation by 5 and the second by 3

We have this as:

`\begin{gathered} -20x\text{ + 15y = 125} \\ 18x-15y=-117 \end{gathered}`

We proceed to add both equations:

`\begin{gathered} -2x\text{ =8} \\ x\text{ = }(8)/(-2) \\ x\text{ = -4} \end{gathered}`