Answer:
Given the system of equation:
g +h = 9 ......[1]
8g + 7.5h = 71 ......[2]
We can write equation [1] as;
g = 9-h ......[3]
Now, substitute equation [3] in [2] we get;
[tex]8(9-h) + 7.5h = 71[/tex]
Using distributive property i,e [tex]a \cdot (b+c) = a\cdot b +a\cdot c[/tex].
72 - 8h +7.5h = 71
Combine like terms:
72 - 0.5 h = 71
Subtract 72 to both sides of an equation:
72 - 0.5 h -72 = 71-72
Simplify:
- 0.5 h = -1
Divide both sides by -0.5 we get;
[tex]\frac{-0.5h}{-0.5} = \frac{-1}{-0.5}[/tex]
Simplify:
h = 2
Substitute the value of h =2 in equation [3] to solve for g;
g = 9 - 2 = 7
g = 7
Therefore, the solution for the given equation is :
g = 7 and h = 2
