6b 7 2b 1 5b
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Solving Linear Equations: Vari Solve each equation. ane) 6r + vii = 13 + 7r three) -Tx m 3x + 2#-8x - 8 5) -xiv+ 6b + seven _ 2b = 1 + 5b 7) n = 3n fourteen = 4n 9) 5 + two. 21.6
Related Question
Solve the arrangement past back substitution: X+ 4y+ 4z = eleven 3y + 5z = 17 2z = 8 0 (1,four,-1) No solution (-1,-ane,4) (-half-dozen,-1,4)
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Video Transcript
how-do-you-do at that place. In this question nosotros have to solve the arrangement using back substitution and the equations are 10 plus four. Y plus four. Z is equal to xi. three y plus 5, Z is equal to 17 And the third equation is two, Z is equal to eight. So allow's run across how we do this. And so here basically nosotros take three equations and the last equation is that two Z is equal to eight from this will get the value of Z. So that this Z is equal to Eastward divided past two and that is equal to four. And then we got that Z is equal to four. And then we can put this value that is equal to four. And the second equation which is given here, that is three Y les 5 30 is equal to 17. So let'southward put that value at that place. Then we have the equation three Y plus v. Z is equal to 17, so Z is equal to four. And then we'll be getting three, Y plus five multiplied by four is equal to 17, that is three, y plus xx is equal to 17. And that implies 3 Y is equal to 17 -20, that is equal to -3. Then once more nosotros'll exist getting the aforementioned place three Y is equal to minus iii. That is why it is equal to minus three divided by three and that is equal to minus 1. So we got the value of y equally minus i. So we got the value for Z equally four and y every bit minus one. And then now we accept the tertiary equation that means the first equation X plus 4, Y plus four squared is equal to 11. Now put back the equation was put back the value for Z. And why? Which we have plant already in this equation and then we can solve out for X. And then let'due south run into that as nosotros have the equation X plus iv, Y plus iv, Z is equal to 11. Now put back the values that is Z is equal to four and y is equal to minus one here. So nosotros'll be getting 10 plus iv multiplied by minus one plus four, multiplied by iv is equal to 11. So here nosotros'll be getting that. Mhm X minus four plus sixteen. A hole-and-corner 11, That is X-plus 12 is equal to 11 From hither. We'll be getting that Ten is equal to 11 -12 and that is equal to -1. So we got the value X is equal to -i. And so hither the values are the solution is Hither we can say that the solution is X is equal to -ane, Y is equal to -one. Set is equal to four. So so the solution is the solution is ordered -1 -14 and we can meet that option. Option C. Or the third option is the correct answer. Okay option C third option aye. Got it. I hope you understood the solution. Thank you
6b 7 2b 1 5b,
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