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3 years ago

Solve each system of equation algebraically y=x+2 y=-3x

2 answers:

6 0

The easiest method to use to solve this equation is substitution. This is because we already have our second equation set equal to the variable y, so we can substitute the x values in for the variable y in the first equation, as follows:

y = x + 2

y = -3x

-3x = x + 2

To simplify, we should subtract x from both sides of the equation so that we can have all of the x terms isolated on the left side of the equation.

-3x - x = x - x + 2

-4x = 2

Finally, we must divide both sides of the equation by -4 to get the variable x alone.

x = -2/4

Because both the numerator and denominator of this fraction are divisible by 2, we can use this knowledge to simplify the fraction by dividing by the GCF of 2.

x = -1/2

Now that we know the value of x, we can substitute this value into either of our original equations to find out the value of y.

y = -3x

y = -3(-1/2)

y = 3/2

Therefore, your answer is x = -1/2 and y = 3/2, or written as an ordered pair (-1/2, 3/2).

Hope this helps!

algol [13]3 years ago

4 0

Try this solution:
$\left \{ {{y=x+2} \atop {y=-3x}} \right. \ =\ \textgreater \ \ \left \{ {{-3x=x+2} \atop {y=x+2}} \right. \ =\ \textgreater \ \ \left \{ {{y=2- \frac{1}{2}} \atop {x=- \frac{1}{2}}} \right. \ =\ \textgreater \ \ \left \{ {{y= \frac{3}{2}} \atop {x=- \frac{1}{2}}} \right.$

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How do you solve this

Fed [463]

Answer:

x is equal to 55 degrees.

Step-by-step explanation:

In order to find this, we must first realize that the angle next to 160 is equal to 20 degrees. This is because they come together to make a straight line, which is equal to 180 degrees.

Now knowing this, we can find the two congruent angles at the top. Since they form one angle of a large triangle along with the right angle and 20 degrees, we know they combine to be worth 70 degrees. Since they are even, we know each is 35 degrees.

For the final step, we know that the 35 degree angle and 90 degree angle form a triangle with x. Knowing these all add up to 180, we can solve for x.

35 + 90 + x = 180

125 + x = 180

x = 55

6 0

4 years ago

Write the linear inequality shown in the graph. The gray area represents the shaded region

Sunny_sXe [5.5K]

I believe the answer is y ≤ -3x + 5.
I have not learned inequalities yet so if I am wrong, then :/

According to m.a.t.h.w.a.y:

7 0

3 years ago

Read 2 more answers

Arthur is putting a tile floor in this room. The tiles are 1 foot on each side. Half of the tiles will be dark brown tiles that

TEA [102]

Hey. Let me help you on this one.

As the question says, the area of the floor surface is 17 feet by 9 feet. Each floor tile is 1 foot in length, and 1 foot in width. We know that the area of one tile is $1^{2}$ ft squared if we substitute numbers into the square area formula and solve it.

$S=a*b$
$S=1*1$
$S=1$

We understand that each tile costs a different amount of money, so that's why we need to set up an equation we can later solve. For this; however, we will need to know the complete area of the floor since this is going to be our total.

In order for us to solve for the total area, we have to use the same area formula we used a step ago.

Length of the floor is 17 feet, while the width is 8 feet. Let's multiply them together.

$S=a*b$
$S=17*8$
$S=136$

Awesome! We know the complete area of the floor as the whole, which is 136 feet squared, and area of the individual tile is 1 foot squared.

If we divide 136 by 1, we will determine the amount of square tiles within the floor. 136 divided by 1 is 136, meaning that there are 136 tiles in the floor.

Now, let's form the solution that will show both prices and amounts of the tiles. Our first initial step is to find out how much one half of 136 is. We can do it by finding 50% of 136.

$0.5*136=68$

One half of 136 is 68, meaning that 68 tiles will cost 58 cents each, and that other 68 tiles will cost 49 cents each. Let's form the solution which we can then solve.

$(68*58)+(68*49)$
$3944+3332=7276$

Answer: 7276 cents, or $72.76 is the price of the floor.