Substitute then solve 1/2m -3/4(8)=16 1/2m-6=16 1/2m= 16+6 1/2m= 22 M= 22×2 M=44
Answer:
m=44
Step-by-step explanation:
The given equation is
[tex]\frac{1}{2}m-\frac{3}{4}n=16[/tex]
We need to find the value of m when n=8.
Substitute n=8 in the given equation.
[tex]\frac{1}{2}m-\frac{3}{4}(8)=16[/tex]
[tex]\frac{1}{2}m-3(2)=16[/tex]
[tex]\frac{1}{2}m-6=16[/tex]
Add 6 on both sides.
[tex]\frac{1}{2}m-6+6=16+6[/tex]
[tex]\frac{1}{2}m=22[/tex]
Multiply both sides by 2.
[tex]\frac{1}{2}m\times 2=22\times 2[/tex]
[tex]m=44[/tex]
Therefore, the value of m is 44.