Question

PLZ HELP ASAP

Answer 1

Answer-

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

Solution-

According to the graph the equations are,

$y=-\frac{1}{2}x-1\\\\y=\frac{1}{4}x-4$

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

$\Rightarrow y=\frac{1}{4}x-4$

Putting the value of y in first equation,

$\Rightarrow \frac{1}{4}x-4=-\frac{1}{2}x-1$

$\Rightarrow \frac{1}{4}x+\frac{1}{2}x=-1+4$

$\Rightarrow \frac{3}{4}x=3$

$\Rightarrow x=3\times \frac{4}{3}$

$\Rightarrow x=4$

Putting the value of x in the first equation,

$y=-\frac{1}{2}\times 4-1=-2-1=-3$

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