Respuesta :

jocelyntrevino5
Solve systems of equations by graphing. A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.

Answer:

(7, 13/3)

Step-by-step explanation:

[tex]y=\frac{1}{3} x+2\\[/tex]   Line up the equations on top of each other

[tex]y=\frac{4}{3} x-5[/tex]

[tex]-4*[y=\frac{1}{3} x+2][/tex]   Multiply the top equation by [tex]-4[/tex] in order to cancel out the [tex]x[/tex] variable

[tex]-4y=-\frac{4}{3} x-8[/tex]   Switch out the first equation for this one

[tex]-4y=-\frac{4}{3} x-8[/tex]   Line up the equations

    [tex]y=\frac{4}{3} x-5[/tex]

[tex]-3y=-13[/tex]   Add the two equations top to bottom, left to right

    [tex]y=\frac{13}{3}[/tex]

Now that you've found [tex]y[/tex], you need to find [tex]x[/tex]. Just plug in the y-value to either of the equations in Step 1:

The first equation has smaller numbers, so let's use that one.

[tex]\frac{13}{3} =\frac{1}{3} x+2[/tex]

To make it easier you can multiply all the terms in the equation by 3:

[tex]13=x+6[/tex]

 [tex]7=x[/tex]

The [tex]x[/tex]- and [tex]y[/tex]- values together give a solution of ( [tex]7[/tex], [tex]\frac{13}{3}[/tex] )