Mathematics OpenStudy (anonymous):

Solve the system by elimination. -2x+2y+3z=0 -2x-y+z=-3 2x+3y+3z=5 Could you also show me how you got the solutions? Thanks! OpenStudy (anonymous):

eq1+eq3: 5y+6z=5 (4) eq1-eq2: 3y+2z=3 (5) eq4-3*eq5: -4y=-4 y=1 Substitute into equations to get your other values. hero (hero):

Pair equations one and three together: -2x+2y+3z=0 2x+3y+3z=5 Pair equations two and three together: -2x-y+z=-3 2x+3y+3z=5 For both pairs, eliminate the z variable: For equations one and three, subtract the 1st equation from the 2nd to get: 4x + y = 5 For equations two and three, multiply the 1st equation by 3 to get: -6x - 3y +3z = -9 Then subtract that from 2x + 3y +3z = 5 to get: 8x + 6y = 14 Reduce that by dividing both sides by 2: 4x + 3y = 7 Now you have two equations in variables x and y: 4x + y = 5 4x + 3y = 7 Subtract the 1st equation from the second to get: 2y = 2 and y = 1 Now use back substitution to find x and z OpenStudy (anonymous):

Thanks you guys. I appreciate the help, I've been stuck on this one for awhile now. The step-by-step stuff really helped. (: OpenStudy (anonymous):

I think I did something wrong. Is this right? 4x+1=5 4x=4 x=1 And then: -2(1)+2(1)+3z=0 3z=0 z=0 Something looks wrong, and I don't know what I did wrong. Did I not plug in the y value in the correct equation? hero (hero):

It's correct hero (hero):

(x,y,z) = (1,1,0) OpenStudy (anonymous):

I guess I just wasn't expecting it to be (1,1, 0). Thanks. (: hero (hero):

If you had any doubts you could test out another equation: 2x + 3y + 3z = 5 2(1) + 3(1) + 3(0) = 5 2 + 3 + 0 = 5 5 = 5 OpenStudy (anonymous):

I'll definitely test it out next time and save you the trouble lol. Thank you for all the help.

Latest Questions Gabe12704: Simplify m - {n - [p + (m + n - p)]}
2 hours ago 7 Replies 1 Medal saharsh: four friends kishore,lokesh,mayank,nelam
42 minutes ago 5 Replies 2 Medals todoroki1: Which of the following describes how these two inequalities will look when graphed together? 2y - 9 u2265 4x and 4 < x + y A.
8 hours ago 1 Reply 0 Medals nlknnkjklm: After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel found a quotient of mc025-2.
8 hours ago 3 Replies 1 Medal jackiejackiejack: What shines without a light switch
8 hours ago 2 Replies 1 Medal jackiejackiejack: what goes up but doesn't come down what sings without a mouth
17 hours ago 1 Reply 1 Medal brianagatica14: Who knows what corridos tumbados are? And if you do name one
19 hours ago 2 Replies 1 Medal Abby1b: A pair of equations is shown below: y = 7x u2212 9 y = 3x u2212 1 Part A:u00a0In your own words, explain how you can solve the pair of equations graphically
20 hours ago 3 Replies 2 Medals jackiejackiejack: how much fluid can the human body hold
21 hours ago 1 Reply 1 Medal