Asked by Helen
How would you solve this systems of equations?
Y-7=-2x
4x+2y=14
Y-7=-2x
4x+2y=14
Answers
Answered by
Scott
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
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
Answered by
Henry
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.
Eq2: 4x + 2y = 14. m = -A/B = -4/2 = -2.
The Eqs have equal slopes and do not intersect. Therefore, there is no solution.
Answered by
Scott
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
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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