Question

X + y = -4
y = -x + 5​

Answer 1

Answer:

`(x,y)=((25)/(9),-(5)/(9) )`

Explanation:

`\left \{ {{x+y=-x+5} \atop {-4y=-x+5}} \right.`

Simplify the expressions

`\left \{ {{2x+y=5} \atop {x-4y=5}} \right.`

Multiply both sides by -2

`\left \{ {{2x+y=5} \atop {-2x+8y=-10}} \right.`

Eliminate one variable by adding the equations

`9y=-5`

Divided both sides by 9

`y=-(5)/(9)`

Substitute the value of y into the equation

`2x-(5)/(9) =5`

Solve the equation

`x=(25)/(9)`

A possible solution is

`(x,y)=((25)/(9) ,-(5)/(9) )`

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