Question

solve using the substitution method....(solutions must be in ordered pairs form)


9m+n=24
m-8n=27

Answer 1

9m+n=24
m-8n=27

n= 24-9m
27= m - 8(24-9m)
27= m - 192 - 72m
219= -71m so m = 3.0845

Double check by entering this into the other equation. 9(-3.0845)+ (24-9(-3.0845)
-27.7605 + 24 - -27.7605 = 24.

so m = -3.0845

-3.0845 - 8(n)= 27
-8n= 30.0845
n= - 3.7606

m: -3.0845
n= -3.7606

Answer 2

rearrange the second to
m = 8n+27

sub that back into the first

8(8n+27) = 24
64n + 216 = 24
64n = -192
n = -3

I am sure you can finish it.

Answer 3

okay, so you have(1) 9m+n=24 and (2) m-8n=27
i'm going to use isolate the m in the second formula, that way you can enter it into the first.
m-8n=27
isolate the m by moving the other numbers to the other side
m=27+8n
^substitute that number for m
9(27+8n)+n=24 solve.
243+72n+n=24 collect like terms.
243+73n=24 isolate the n by subtracting
-243 -243
73n=-219 divide -219 by 73 to isolate the n
n=-3

how substitute n into any of the 2 formulas to find m
I'll use the 2nd formula, but either would work.

so, m-8n=27 substitute the n=-3

m-8(-3)=27, multiply -8(-3)
m+24=27, isolate m
-24
m=27-24
m=3

Answer 4

G=F+2E, FOR F