Pergunta
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. -10x+y=64 -10x+5y=40 Answer Subtract to eliminate x. Add to eliminate y. Add to eliminate x. Subtract to eliminate y.
Solução
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DianaElite · Tutor por 8 anos
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To eliminate a variable, we can either add or subtract the equations. In this case, we can subtract the second equation from the first equation to eliminate the x variable.<br /><br />Subtracting the second equation from the first equation:<br />$(-10x + y) - (-10x + 5y) = 64 - 40$<br /><br />Simplifying the equation:<br />$y - 5y = 24$<br /><br />Combining like terms:<br />$-4y = 24$<br /><br />Dividing both sides by -4:<br />$y = -6$<br /><br />Therefore, the correct first step is to subtract the second equation from the first equation to eliminate the x variable.
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