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Using the matrix solver on your calculator, find the solution to the system of

equations shown below.
3x - y = 4
6x - 2y = 7
A. x = 6, y = 2
B. No solution
C. x= 3, y= 1
D. More than 1 solution
SUBMIT

2 Answers

2 votes
B no solution is the correct answer
User Chris Gibb
by
5.6k points
2 votes

Answer:

B. No solution.

Step-by-step example

I will try to solve your system of equations.

3x−y=4;6x−2y=7

Step: Solve3x−y=4for y:

3x−y+−3x=4+−3x(Add -3x to both sides)

−y=−3x+4

−y

−1

=

−3x+4

−1

(Divide both sides by -1)

y=3x−4

Step: Substitute3x−4foryin6x−2y=7:

6x−2y=7

6x−2(3x−4)=7

8=7(Simplify both sides of the equation)

8+−8=7+−8(Add -8 to both sides)

0=−1

Therefore, there is no solution, and the lines are parallel.

User Sunjinbo
by
6.3k points