MATH SOLVE

3 months ago

Q:
# Please help me solve this 3 step equation for algebra 2 ASAPX-3y-z=-9-2x+y+2z-32x+y+3z=8

Accepted Solution

A:

Answer:Step-by-step explanation:x-3y-z=-9;-2x+y+2z=3;2x+y+3z=8 Solution : {x,y,z} = {1,3,1} System of Linear Equations entered : [1] x - 3y - z = -9 [2] -2x + y + 2z = 3 [3] 2x + y + 3z = 8Solve by Substitution :// Solve equation [3] for the variable y [3] y = -2x - 3z + 8// Plug this in for variable y in equation [1] [1] x - 3•(-2x-3z+8) - z = -9 [1] 7x + 8z = 15// Plug this in for variable y in equation [2] [2] -2x + (-2x-3z+8) + 2z = 3 [2] -4x - z = -5// Solve equation [2] for the variable z [2] z = -4x + 5// Plug this in for variable z in equation [1] [1] 7x + 8•(-4x+5) = 15 [1] -25x = -25// Solve equation [1] for the variable x [1] 25x = 25 [1] x = 1 // By now we know this much : x = 1 y = -2x-3z+8 z = -4x+5// Use the x value to solve for z z = -4(1)+5 = 1 // Use the x and z values to solve for y y = -2(1)-3(1)+8 = 3 Solution : {x,y,z} = {1,3,1}