To solve a system of two linear equations, first solve one equation for one variable, then substitute that expression into the other equation to find the remaining variable. For the system 2x + y = 11 and x - y = 1, solving the second equation for y gives y = x - 1. Substituting into the first equation yields 2x + (x - 1) = 11, which simplifies to 3x - 1 = 11, then 3x = 12, so x = 4.
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EOC Algebra 1 challenge!Added:
EOC Algebra 1 challenge! Can you solve this before the timer ends? We have the system: Two x plus y equals eleven, and x minus y equals one. We need to find the value of x. Step one: solve the second equation for y. Start with x minus y equals one. Subtract x from both sides. Negative y equals negative x plus one. Now multiply by negative one. y equals x minus one. Step two: substitute into the first equation. Two x plus x minus one equals eleven. Combine like terms. Three x minus one equals eleven. Add one to both sides. Three x equals twelve. Now divide by three. x equals four. So the correct answer is… choice C, four! Did you get it right? Follow for more Algebra 1 EOC practice!
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