Answer :
[tex] \left \{ {{-m+2n=9} \atop {4m=-3n-14}} \right. \\\\ From\ first\ equation:\\
m=2n-9\\
4(2n-9)=-3n-14\\
8n-36=-3n-14\ \ \ \ |add\ 36\\
8n=-3n+22\ \ \ \ |add\ 3n\\
11n=22\ \ \ \ |divide\ by\ 11\\
n=2\\
m=2n-9\\
m=2*2-9=4-9=-5\\\\
\left \{ {{m=-5} \atop {n=2}} \right. [/tex]
This is beautiful.
-m+2n=9 .....(i)
4m=3n-14 .....(ii)
We are going to use elimination method. Rearrange the equations so that the m and n are on same vertical sides.
-m+2n=9 .....(i) (multiply by 4)
4m -3n=-14 ........(ii)
We multiply both sides of equation i by 4, because of the 4 attached to the m in equation (ii)
4*(-m+2n)=4*(9) ...................(i)
-4m + 8n = 36 ............(iii)
Add equations (ii) and (iii)
4m+(-4m) -3n+8n = -14 +36
4m-4m +5n = 22
5n = 22
Divide both sides by 5.
n = 22/5 = 4.4.
Now let us solve for m.
From:
-m+2n=9 .....(i) Let us substitute the solved value of n = 4.4
-m + 2(4.4) = 9
-m = 9 - 8.8
-m = 0.2
Multiply both sides by -1.
m = -0.2
Therefore m = -0.2, n = 4.4.
Hurray!
-m+2n=9 .....(i)
4m=3n-14 .....(ii)
We are going to use elimination method. Rearrange the equations so that the m and n are on same vertical sides.
-m+2n=9 .....(i) (multiply by 4)
4m -3n=-14 ........(ii)
We multiply both sides of equation i by 4, because of the 4 attached to the m in equation (ii)
4*(-m+2n)=4*(9) ...................(i)
-4m + 8n = 36 ............(iii)
Add equations (ii) and (iii)
4m+(-4m) -3n+8n = -14 +36
4m-4m +5n = 22
5n = 22
Divide both sides by 5.
n = 22/5 = 4.4.
Now let us solve for m.
From:
-m+2n=9 .....(i) Let us substitute the solved value of n = 4.4
-m + 2(4.4) = 9
-m = 9 - 8.8
-m = 0.2
Multiply both sides by -1.
m = -0.2
Therefore m = -0.2, n = 4.4.
Hurray!
