All categories

3 years ago

Solve the following system of equations: x + 3y = −4 x + 5y = −6 pls and thx

Mathematics

2 answers:

Umnica [9.8K]3 years ago

7 0

Answer:

work is pictured and shown

Agata [3.3K]3 years ago

4 0

Answer:

x = -1 y = -1

Step-by-step explanation:

x + 3y = −4

x + 5y = −6

Multiply the first equation by -1

-x - 3y = 4

The add to the second equation to eliminate x

-x - 3y = 4

x + 5y = −6

--------------------

2y = -2

Divide by 2

2y/2 = -2/2

y = -1

Now solve for x

x+3y = -4

x +3(-1) = -4

x -3 = -4

Add 3 to each side

x-3+3 = -4+3

x = -1

You might be interested in

please help with this it would mean a lot (you don't have to give the answer just help me understand it.) thanks

lord [1]

2.065 IS THE ANSWER!!

4 0

3 years ago

which shows a true conditional with a correctly identified hypothesis and conclusion. a. if its raining, then the humidity level

Degger [83]

The correct answer is:

D) if it's raining, then the humidity level is 100%; hypothesis: it is raining; conclusion: the humidity level is 100%.

Explanation:

The truth value of this conditional statement is true; if it is raining outside, that would mean the humidity level is 100%..

The hypothesis of a conditional statement is the "if" part. In this statement, what follows "if" is "it's raining"; this is the hypothesis.

The conclusion of a conditional statement is the "then" part. In this statement, what follows "then" is "the humidity level is 100%"; this is the conclusion.

8 0

3 years ago

Read 2 more answers

The angle measures associated with which set of ordered pairs share the same reference angle? (Negative StartFraction StartRoot

Katarina [22]

Answer:

$(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)$

Step-by-step explanation:

The reference angle is the angle that the given angle makes with the x-axis.

For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.

From the given options:

$(A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)$

We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.

5 0

3 years ago

Read 2 more answers

A rectangle has length 3 feet and width 1/4 foot. What is the area of the rectangle?

Lera25 [3.4K]

$Area=width*length\\\\length=3ft\\width=\frac{1}{4}ft\\\\ Area=3*\frac{1}{4}=\frac{3}{4}ft^2\\\\Area\ of\ rectangle\ is\ equal\ to\ \frac{3}{4}ft^2.$