Question

Hello, I need help on this
`2x - 3y = 4`
`5x + 2y = - 9`

Answer 1

Given:

`\begin{gathered} 2x-3y=4 \\ \\ 5x+2y=-9 \end{gathered}`

Required:

To calculate the value of x and y

Step-by-step explanation:

`\begin{gathered} 2x-3y=4 \\ \\ 5x+2y=-9 \\ \\ rearrange\text{ the like terms to the same side of the equation} \\ \\ 2x-3y=4 \\ \\ 2y=-9-5x \\ \\ divide\text{ bpth sides of the equation by the coefficient of variable} \\ \\ y=(-9-5x)/(2) \\ \\ substitute\text{ into one of the equation} \end{gathered}`
`\begin{gathered} 2x-3*(-9-5x)/(2)=4 \\ \\ solve\text{ the equation } \\ \\ 4x-3(-9-5x)=4*2 \\ \\ 4x+27=4*2 \\ \\ 19x+27=8 \\ \\ 19x=8-27 \\ \\ 19x=-19 \\ \\ x=-1 \end{gathered}`
`\begin{gathered} substitute\text{ value of x in the equation we get} \\ \\ y=(-9-5*(-1))/(2) \\ \\ solve\text{ the equation we get} \\ \\ y=-2 \end{gathered}`

Required answer:

X=-1

Y=-2