Question

Graph the Systems of Equations below, then place a point Indicating the solution to the system of equations.

y
-22 - 1
1/2 - 4
POINT
LINE
10
9
8
7
6
6 5
5
4
3
2
1
-B
-7
-5
-6
-4
-3
-2
-10
1
8
2
N
3
-10 9
3
4
5
8
6
9
7
CO
10
-2

Answer 1

`\left \{ {y\:=\:-3,} \atop {x\:= \:4}} \right.`

Explanation:

`\left \{ {{y=-(1)/(2)x-1} \atop {y=(1)/(4)x-4}} \right.`

Solving by substitution:

`\mathrm{Substitute\:}y=(1)/(4)x-4`

`\begin{bmatrix}(1)/(4)x-4=-(1)/(2)x-1\end{bmatrix}`

`x=4`

`\mathrm{Substitute\:}x=4`

`y=(1)/(4)\cdot \:4-4`

`y=-3`

`\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}`

`y=-3,\:x=4`