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The solution to the system of equations is
and
.
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Did you know that solving systems of equations dates back to ancient civilizations? Babylonian mathematicians were among the first to work with simultaneous equations using geometrical methods! They tackled problems such as land division and trade calculations, laying the groundwork for algebra as we know it today.
Now, when tackling a system of equations like the one you’ve got, always check for simpler methods first, like substitution or elimination. A common mistake is mixing up signs while performing operations. Double-check your calculations with example values to ensure that both equations are satisfied as you find the solution!