Solve the system of liner equations

Step-by-step explanation:

sub y = 0 to get x intercept and x = 0 to get y intercept

from there, join the 2 points in a str line

Topic: coordinate geometry

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the solution to the linear system is co-ordinate A(4,4).

Step-by-step explanation:

I LOVE SOLVING SYSTEMS OF LINEAR EQUATIONS!!! ok imma just calm down

equation 1

4x-2y=8

equation 2

y=3/2x-2

to solve a system of linear equation you should equate the same variable to one side. the easiest way here is to isolate y

equation 1: y=3/2x-2

equation 2: 4x-2y=8 --> 4x-2y-8=0 --> 4x-8=2y --> 4x/2-8/2=y --> y=2x-4

perfect! now let's equate both equations.

if y=y

then 3/2x-2=2x-4

solve for x

3/2x-2=2x-4

3/2x-2+4=2x

3/2x+2=2x

3/2x-2x=-2

3/2x-4/2x=-2

-1/2x(-2/1)=-2(-2/1)

x=4

now we know x, let's find y!

just plugin x to a equation you like that is listed above.

imma use equation two.

y=2x-4

y=2(4)-4

y=8-4

y=4

WE DID IT!

x=4 and y=4, so let's just write in in co-ordinate form (x value, y value).

(x,y)

(4,4)

let's label our co-ordinate a random letter just to be neat and organized.

A(4,4)

so, the solution to the linear system is co-ordinate A(4,4).

hope this helped!