Download POW 6--four methods systems part 2

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Transcript
Solve the system below using ALL FOUR METHODS.
The methods include graphing, substitution, elimination (combinations), and matrices.
1]
4x + y = 7
y = - 2x + 1
 y

x






Answer the multiple choice questions below.
1] State the number of solutions to the system of equations graphed below.
A) 1
B)2
C) infinitely many
D) zero
E) can’t be determined from the graph
2] State the number of solutions to the system of equations graphed below.
A) 1
B) 2
C) infinitely many
D) zero
E) can’t be determined
3] What is the first step in solving the given system of equations using the elimination
method (sometimes called combinations)?
3x + 4y = 8
5x – 2y = 1
A) Add the equations.
B) Multiply the second equation by 2.
C) Solve the first equation for x.
D) Subtract the second equation from the first equation.
E) Change both equations into slope-intercept form.
4] If solving the given system by substitution, what would be your first step?
x = 8y – 10
A) 3x + 9(8y – 10) = 36
B) 3(8y – 10) + 9y = 36 C) 8 – 10 + 9y = 36
3x + 9y = 36
D) 3x + 9y = 8y – 10
E) 4x + 17y = 26