Choose the correct words from the drop-down menu to make a true statement about the system of equations.

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the 2 equations

y = $\frac{1}{3}$ x + 2 → (1)

- x + 3y = 6 → (2)

Substitute y = $\frac{1}{3}$ x + 2 into (2)

- x + 3( $\frac{1}{3}$ x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

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i need help with my math :( im horrable with it i cant do divideing fractions nor multiply and i dont know most of my multiples

vladimir1956 [14]

Step-by-step explanation:

To multiply the fractions, like

$\frac{1}{4} \times \frac{1}{9}$

Multiply the top,

then multiply the bottom.

$\frac{1}{4} \times \frac{1}{9} = \frac{1 \times 1}{4 \times 9} = \frac{1}{36}$

Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.

To divide fractions, like

$\frac{ \frac{1}{5} }{ \frac{1}{8} }$

You take the top number,

$\frac{1}{5}$

Then you flip the bottom number,

$\frac{8}{1}$

Then multiply the two

$\frac{1}{5} \times \frac{8}{1} = \frac{8}{5}$

And that is your answer. Comment if you need more clarification

6 0

2 years ago

Which statement is true about the equations –3x + 4y = 12 and 1/4x –1/3 y = 1?The system of the equations has exactly one soluti

iren [92.7K]

Answer:

The system of the equations has no solution; the two lines are parallel.

Step-by-step explanation:

The equations have the same slope. In standard form, this can be seen as the same coefficients for x and y. We will multiply the second equation by -12 to reveal this.

$\frac{1}{4} x-\frac{1}{3}y=1 \\-12(\frac{1}{4} x-\frac{1}{3}y=1)\\\frac{-12}{4} x-\frac{-12}{3}y=-12\\-3x+4y=-12$