Respuesta :
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:
[75, 50]
Step-by-step explanation:
{x + y =125
{5x + 8y = 775}
-⅛[{5x + 8y = 775}]↷
{x + y = 125}
{-⅝x - y = -96⅞}
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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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