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Equations one step equations two step equations multi step equations … 3y − 6z Equation 1= −6 x Equation 2− y + 4z = 10 2x + 2y Equation 3− z = 12 SOLUTION Step 1 Solve Equation 1 for y. y = 2z New Equation 1− 2 Step 2 Substitute 2z − 2 for y in Equations 2 and 3 to obtain a system … Algebra calculators can help you when you find yourself caught on a problem, you can’t figure out. Now this time we have negative x plus 3y equals 3 and then the second equation is X minus 2y equals 8. Students review the steps of solving a system of equations by substitution by alternating steps as they solve problems in pairs or groups. Problem 2 : Solve the system of linear equations by substitution. x + y = 8. Example: Solve the system by substitution \( - 8x + 5y = - 6\) \( - 3x + y = - 4\) Solution: We follow the first procedure. y = −7x Check your answer by graphing. Steps 1) Solve one of the equations for x or y. 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