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10 cards from this deck
System of 2+ equations with a fixed set of solutions or unsolvable
To eliminate one variable so you can solve for the other
Make coefficients of one variable equal in both equations
Multiply one or both equations by suitable numbers
Add or subtract equations to eliminate the variable
Substitute back into an original equation to find the other
Input coefficients in simultaneous equation mode
ax+by=kax + by = kax+by=k and cx+dy=mcx + dy = mcx+dy=m
Real numbers (a,b,c,d,k,m∈Ra, b, c, d, k, m \in \mathbb{R}a,b,c,d,k,m∈R)
One variable eliminated, equation with single variable remains
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