Question

PLZ HELP ASAP

The system of equations is graphed on the coordinate plane.

y=−12x−1y=14x−4


Enter the coordinates of the solution to the system of equations in the boxes.

Answer 1

The coordinates of the solution to the system of equations is (4, -3)

Solution-

According to the graph the equations are,

`y=-(1)/(2)x-1\\\\y=(1)/(4)x-4`

We can get the coordinates of the solution to the system of equations, by substitution.

`\Rightarrow y=(1)/(4)x-4`

Putting the value of y in first equation,

`\Rightarrow (1)/(4)x-4=-(1)/(2)x-1`

`\Rightarrow (1)/(4)x+(1)/(2)x=-1+4`

`\Rightarrow (3)/(4)x=3`

`\Rightarrow x=3* (4)/(3)`

`\Rightarrow x=4`

Putting the value of x in the first equation,

`y=-(1)/(2)* 4-1=-2-1=-3`

Therefore, the coordinates of the solution to the system of equations is (4, -3)