Sam and kevin both worked hard over the summer. together they earned a total of $425. kevin earned $ 25 more than sam.
a) write a system of equations for the situation. use s for the amount same earned and k for the amount kevin earned.
b) graph the equations in the system.
c) use your graph to estimate how much each person earned.

solve the system of equations by substitution.
6= -4x + y
-5x - y =21

solve the system by the elimination method.
2x + y=20
6x - 5y=12

i do not understand how to do this ..

QUESTION 1

a)

Let

represent the amount Same earned and

represent the amount Kevin earned.

We were told that, they earned $425 dollars together.

This implies that,

It was also given that, Kevin earned $25 more than Same.

This implies,

For equation (1), when

We plot the point,

When

We plot the point,

Similarly for the second equation when

This gives the point,

When

We plot

and draw a straight line through them.

We can see from the graph that the two points intersect at  

This implies that

Therefore Kevin earned $ 225

and Same earned $ 200

QUESTION 2

The given system is

and

From equation (2),

Put equation (3) into equation (1).

This implies that,

Group like terms,

Simplify, to get,

We substitute this value into equation (3) to get,

Therefore the solution is

QUESTION 3

We want to solve,

and

We multiply equation (1) by 3 to get,

Equation (3) minus equation (2) will give us,

This means

Put this value into equation (1) to get,

The solution is

you need to give us more information since we can't answer

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct