Answer:
how many marbles are in the bag??
gg easy
we want to cancel 1 term
first, get them into form am+bn=c where a, b, and c are constants
m-2n=2 is good
m+n=2(n-3) is m+n=2n-6 which is m-n=-6
compare constants
m's have 1 and 1
n's have -2 and -1
let's cancel m's
a. multiply 1st equation by -1
-m+2n=-2
add to 2nd equation
-m+2n=-2
<u>m-n=-6 +</u>
0m+n=-8
n=-8
sub back
m-n=-6
m-(-8)=-6
m+8=-6
m=-14
b. to check
m=-14 and n=-8
m-2n=2
-14-2(-8)=2
-14+16=2
2=2 yep
m-n=-6
-14-(-8)=-6
-14+8=-6
-6=-6 yep
so m=-14 and n=-8 is the solution
C ) 0, 2, 3, 3, 3, 4, 6, 9, 9, 10, 10, 10
Answer:
hi! the slope formula is y2-y1 / x2-x1 ! so (-6,0) (2,-2)
your x1 is -6 and y1 is 0 and x2 is 2 and y2 is -2!
using the formula, -2-0/2--6 is 4
so your slope is 4!
the y intercept is solved by
the slope intercept formula y= mx+b
I hope you've memorized both formulas!
b is your y intercept so let's set the equation up!
pick a point it can be either point we'll do (-6,0)!
now y=mx + b
m is your slope and y is the y coordinate of the point (-6,0) that we chose!
b is what we will solve
so! 0=4(-6)+b
0= -24 + b
now it's basic algebra!
24= b
I hope this helps!
In conclusion, slope is 4 and y intercept is 24
memorize slope formula and slope intercept formula and you can do this!