Solve the system of equations below. Homework Help ✎
8x − 3y − 2z = −8
−2x + 8y + 7z = 26
4x + y − 5z = 23
Multiply the 2nd equation by 4 and add to the 1st.
29y + 26z = 96 (Eq. #4)
Multiply the 2nd equation by 2 and add to the 3rd.
17y + 9z = 75 (Eq. #5)
Multiply the 5th equation by 26.
442y + 234z = 1950
Multiply the 4th equation by −9.
−261y − 234z = −864
Subtract the two equations eliminating y. Solve for y.
181y = 1086
y = 6
Use substitution to find x and y. Check your answers in all three equations!