30 points for right answer! solve the system of equations using linear combination and show your work. g + h = 9 8g + 7.5h = 71

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;

Using distributive property i,e .

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;

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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent