1)3x+4y+7z=141 close paren space 3 x plus 4 y plus 7 z equals 14
3)x+2y−3z=03 close paren space x plus 2 y minus 3 z equals 0 2. Choose a Variable to Eliminate math ass.7z
2)2x−y+3z=42 close paren space 2 x minus y plus 3 z equals 4 1)3x+4y+7z=141 close paren space 3 x plus 4
Pick the easiest variable to remove from two pairs of equations. In the example above, the term in Equation 2 is solo ( −ynegative y ), making it a great candidate for elimination. : Combine (1) and (2) by multiplying Equation 2 by 4. Pair B : Combine (2) and (3) by multiplying Equation 2 by 2. 3. Reduce to Two Variables Once you eliminate : Combine (1) and (2) by multiplying Equation 2 by 4
. This transforms a complex 3D problem into a standard 2D algebra problem. 4. Solve and Back-Substitute Solve the new system for