# Algebra

How would you solve this systems of equations?
Y-7=-2x
4x+2y=14

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1. the system has no unique solution

the equations are equivalent...you can make them the same by manipulation
... multiply 1st eqn by 2
... add 4x + 7 to both sides
... you now have the 2nd eqn

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2. Eq1: Y = -2x + 7. m = -2.

Eq2: 4x + 2y = 14. m = -A/B = -4/2 = -2.

The Eqs have equal slopes and do not intersect. Therefore, there is no solution.

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3. Henry is correct about the slopes being equal

he didn't mention, but the intercepts are also equal

the lines are the same
... there are an infinite number of solutions

if you know the value of one variable, you know the other

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