Question

PLEASE HELP ME!! 30 points for right answer!

Answer 1

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;

$8(9-h) + 7.5h = 71$

Using distributive property i,e $a \cdot (b+c) = a\cdot b +a\cdot c$.

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;

$\frac{-0.5h}{-0.5} = \frac{-1}{-0.5}$

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