Question

delta math: systems of equ...
due: february 15 at 11:59 pm
grade: 8%
in system
determine number of solutions in system
determine number of solutions in system
this is the only question in this section.
question
determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
$-5x + 4y = -2$
$-10x + 8y = -4$
answer attempt 1 out of 2
○ infinitely many solutions
○ one solution
submit answer

Explanation:

Step1: Scale the first equation

Multiply first equation by 2:
$$2(-5x + 4y) = 2(-2)$$
$$-10x + 8y = -4$$

Step2: Compare the two equations

Notice the scaled first equation is identical to the second equation $-10x + 8y = -4$. This means the two equations represent the same line, so every point on the line is a solution.

Answer:

Infinitely Many Solutions