Question

NEED HELP PLEASE THIS IS VERY DIFFICULT!!!!!!!!!!!! CAN SOMEONE HELP AND ANSWER EACH PART TO THIS EQUATION!!! I WILL MARK BRAINLIEST


Seiji and Gavin both worked hard over the summer. Together theyearned a total of 425$. Gavin earned 25 more than Seiji.

a) Write a system of equations for the situation. Use s for the amount Seiji earned and g for the amount Gavin earned.

b) Graph the equations in the system.

c) Use your graph to estimate how much each person earned.

Answer 1

Answer:

The system of equations is y = -x + 425

and                          y = x + 25

Therefore Seiji earns $200.

therefore Gavin earns $225.

Step-by-step explanation:

i) Let the amount earned by Seiji be $x.

ii) let the amount earned by Gavin be $y.

iii) together they earned a total of $425

iv) therefore $x + $y = $425   ⇒   y = -x + 425

v) Gavin earned $25 more than Seiji.

vi) therefore y = x +25

vii) substituting the value of y in vi) into the equation in iv) we get

 x + (x + 25) = 425    ⇒   2x  + 25 = 425    ∴ 2x  =  400  ∴ x = 200.

  Therefore Seiji earns $200.

viii) therefore y = x + 25    ⇒   y  = 200 + 25 = 225

ix) therefore Gavin earns $225.