Question

X + y =125 5x + 8y = 775

Answer 1

Answer:

x=75, y = 50

Step-by-step explanation:

Solve the following system:

{x + y = 125 | (equation 1)

5 x + 8 y = 775 | (equation 2)

Swap equation 1 with equation 2:

{5 x + 8 y = 775 | (equation 1)

x + y = 125 | (equation 2)

Subtract 1/5 × (equation 1) from equation 2:

{5 x + 8 y = 775 | (equation 1)

0 x - (3 y)/5 = -30 | (equation 2)

Multiply equation 2 by -5/3:

{5 x + 8 y = 775 | (equation 1)

0 x+y = 50 | (equation 2)

Subtract 8 × (equation 2) from equation 1:

{5 x+0 y = 375 | (equation 1)

0 x+y = 50 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 75 | (equation 1)

0 x+y = 50 | (equation 2)

Collect results:

Answer:  {x = 75 , y = 50

Answer 2

Answer:

[75, 50]

Step-by-step explanation:

{x + y =125

{5x + 8y = 775}

-⅛[{5x + 8y = 775}]↷

{x + y = 125}

{-⅝x - y = -96⅞}

_________________

⅜x = 28⅛

x = 75 [Plug this back into both equations to get a y-value of 50]; 50 = y

Using the Elimination Method, what I did was multiply the bottom equation by -⅛ to cancel out y's by turning 8y to -y.

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