Problemas

7. Pedro has 276 more hits than Ricky.Use substitution to solve the system of equations to find how many hits Pedro, p, and Ricky, r, have each recorded. p+r=2,666 p=r+276
Solución
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Pedro has 1471 hits and Ricky has 1195 hits.
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## Step 1<br />We are given two equations:<br />1. \(p + r = 2666\)<br />2. \(p = r + 276\)<br /><br />We can use the substitution method to solve this system of equations. This involves substituting the expression for \(p\) from the second equation into the first equation.<br /><br />## Step 2<br />Substitute \(p = r + 276\) into the first equation \(p + r = 2666\). This gives us:<br /><br />### \((r + 276) + r = 2666\)<br /><br />## Step 3<br />Combine like terms on the left side of the equation to get:<br /><br />### \(2r + 276 = 2666\)<br /><br />## Step 4<br />Subtract 276 from both sides of the equation to isolate the term with \(r\):<br /><br />### \(2r = 2390\)<br /><br />## Step 5<br />Divide both sides by 2 to solve for \(r\):<br /><br />### \(r = 1195\)<br /><br />## Step 6<br />Substitute \(r = 1195\) into the second equation \(p = r + 276\) to solve for \(p\):<br /><br />### \(p = 1195 + 276\)<br /><br />## Step 7<br />Calculate the value of \(p\):<br /><br />### \(p = 1471\)
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