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!

answer: you need to organize this better it does not make sense.

step-by-step explanation: ?

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: