solve the system of equations. If the systemof equations is dependent then set o

Question

solve the system of equations. If the systemof equations is dependent then set one of the variables equal tothe real number c, and express the other variables in terms ofc.

{2x -3y+z= 5
5x-7y-3z=-12
state whether independent dependent or in consistent
show answers to independent or dependent system of equations solve the system of equations. If the systemof equations is dependent then set one of the variables equal tothe real number c, and express the other variables in terms ofc.

{2x -3y+z= 5
5x-7y-3z=-12
state whether independent dependent or in consistent
show answers to independent or dependent system of equations

Explanation / Answer

There are two equations and three variables. The systemis dependent. Set z=C. Then, 2x - 3y + C = 5
5x - 7y - 3C= -12 2x - 3y = 5 - C
5x - 7y = -12+ 3C 10x - 15y = 25 - 5C
10x - 14y = -24 + 6C
y = -49 + 11C 2x - 3(-49+11C) =5 - C 2x + 147 - 33C = 5 - C 2x = -147 + 5 +33C - C 2x = -142 + 32C x = -71 + 16C

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.