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Solve using elimination.(_____, _____)
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Q. Solve using elimination.(_____, _____)
- Write Equations: Write down the system of equations to be solved using elimination.
- Eliminate Variable: To use elimination, we need to eliminate one variable. We can subtract the second equation from the first equation to eliminate the variable.
- Subtract Equations: Perform the subtraction to eliminate the variable.
- Solve for x: Solve for x by dividing both sides of the equation by -3＂).\(\newline\$-3x / -3 = 21 / -3\)\(\newline\)\(x = -7\)
- Substitute \(x\): Now that we have the value of \(x\), we can substitute it back into one of the original equations to solve for \(y\). We'll use the first equation.\[7(-7) + 7y = 14\]\[-49 + 7y = 14\]
- Isolate y: Add \(49\) to both sides of the equation to isolate the \(y\) term.\(\newline\)\(-49 + 49 + 7y = 14 + 49\)\(\newline\)\(7y = 63\)
- Solve for y: Divide both sides of the equation by \(7\) to solve for y.\(\newline\)\(\frac{7y}{7} = \frac{63}{7}\)\(\newline\)\(y = 9\)
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