-3x - 3y = 3, -5x + y =13
System of Equations

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Step-by-step explanation:

Hi there!

We are given the following system of equations:

-3x-3y=3

-5x+y=13

and we need to find the solution (the point at which the 2 lines intersect)  

let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable

in the second equation, add 5x to both sides to isolate y by itself

y=5x+13

now substitute 5x+13 as y in -3x-3y=3

-3x-3(5x+13)=3

do the distributive property

-3x-15x-39=3

combine like terms

-18x-39=3

add 39 to both sides

-18x=42

divide both sides by -18

x=

now we need to find y

remember: y=5x+13

substitute as x in y=5x+13

y=5()+13

multiply

y=+13

add

y=

So the answer is x=, y=. As a point, it's (, )

Hope this helps! :)

john got lost so he didn't know what to do and it was crazy because he didn't except it

step-by-step explanation:

123123 step byt step

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.