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This is a 2-page document! Solve each system of equations by elimination Clearly identify your solution. 1. ) y=-x+1 y=4x-14

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This is a 2-page document!
Solve each system of equations by elimination Clearly identify your solution.
1.  ) y=-x+1 y=4x-14

This is a 2-page document! Solve each system of equations by elimination Clearly identify your solution. 1. ) y=-x+1 y=4x-14

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WandaElite · Tutor por 8 anos

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To solve the system of equations by elimination, we can add the two equations together to eliminate the variable $y$.<br /><br />Given:<br />$y = -x + 1$<br />$y = 4x - 14$<br /><br />Step 1: Add the two equations together.<br />$(-x + 1) + (4x - 14) = 0$<br />$-x + 4x + 1 - 14 = 0$<br />$3x - 13 = 0$<br /><br />Step 2: Solve for $x$.<br />$3x - 13 = 0$<br />$3x = 13$<br />$x = \frac{13}{3}$<br /><br />Step 3: Substitute the value of $x$ into one of the original equations to solve for $y$.<br />Let's substitute $x = \frac{13}{3}$ into the first equation $y = -x + 1$.<br />$y = -\frac{13}{3} + 1$<br />$y = -\frac{13}{3} + \frac{3}{3}$<br />$y = -\frac{10}{3}$<br /><br />Therefore, the solution to the system of equations is:<br />$x = \frac{13}{3}$<br />$y = -\frac{10}{3}$
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