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!

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

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step-by-step explanation: