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 one year ago
Use the substitution method to solve the following system of equations.
x + 2y – z = 7
4x – y + 3z = –2
2x + 2y – z = 9
 one year ago
Use the substitution method to solve the following system of equations. x + 2y – z = 7 4x – y + 3z = –2 2x + 2y – z = 9

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Zelda
 one year ago
Best ResponseYou've already chosen the best response.2Well, here we go: First let's set the first equation equal to: – z = 7  x  2y Which becomes: z = x+2y  7 okay?

Zelda
 one year ago
Best ResponseYou've already chosen the best response.2No put this in equation #2: 4x – y + 3z = –2 Becomes: 4x – y + 3(x+2y  7) = –2 Which becomes: 4x  y +3x +2y 21 = 2

Zelda
 one year ago
Best ResponseYou've already chosen the best response.2So, then we combine like terms to get: 4x  y +3x +2y 21 = 2 7x + y 21 = 2 y = 7x +19 And finally put this in the third equation and solve for x. So put in the first and second equations into the third one and solve for x.

Zelda
 one year ago
Best ResponseYou've already chosen the best response.2So we have z = x+2y  7 and we have y = 7x +19 SO in the third equation: 2x + 2y – z = 9 Wherver you see a z, put that equation, and where you see a y, put in the equation for y. (First put in the y in the z equation)
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