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valentina_108 [34]
3 years ago
9

What is the solution to this system 2x + y = 1 3x – y = –6 (–1, 3)

Mathematics
1 answer:
vova2212 [387]3 years ago
3 0

Answer: 2x+y=1

3x-y=-6

==>5x=-5

==>x=-1 and y=1-2*(-1)=3

Sol={(-1,3)}

Answer A

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What coordinates best represent the location of point K on the coordinate plane.
Sindrei [870]

Answer:

-7, -4

Step-by-step explanation:

The squares are marked by units of 2. It looks like you did not take that into account when you entered your y coordinate.

8 0
3 years ago
A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m3. What is the width?
BigorU [14]

The question is incomplete because it was not properly and correctly arranged

Complete Question:

A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m³. What is the width? A prism has a length of 7 meters, width of w, and height of 5 meters.

Which steps are correct? Check all that apply.

a) Substitute the known values into the formula: 140 = 7(w)(5).

b) Substitute the known values into the formula: 7 = 140(w)(5).

c) Substitute the known values into the formula: 5 = 7(w)(140).

d) Solve for the unknown: w = 4 m.

e) Solve for the unknown: w = 7 m.

f) Solve for the unknown: w = 2 m.

Answer:

a) Substitute the known values into the formula: 140 = 7(w)(5).

d) Solve for the unknown: w = 4 m.

Step-by-step explanation:

The steps that are correct are Options a) and d). This is because:

Step 1

The volume of a rectangular prism is calculated as:

Volume of a rectangular prism = Length (l) × Width(w) × Height(h)

The unit of the volume or a rectangular prism is in cubic metres (m³)

In the question, we are asked to find the unknown value which is the width and we were given the following known values:

Length = 7 m,

Height = 5 m

Volume = 140 m³

Step 2

Solve for the unknown value( Width)

Volume of a rectangular prism = Length (L) × Width(W) × Height(H)

140m³ = 7m × Width(m) × 5m

140m³ = 35m² × Width(m)

Width(w) = 140m³ ÷ 35m²

Width(w) = 4m

Hence, the unknown Width(w) = 4m

From the above explanation we can see that the correct steps is Option a) and Option d)

5 0
2 years ago
Read 2 more answers
3. Solve using substitution.<br> x - y = 4<br> 3x - 2y = -5
Vedmedyk [2.9K]

<u>Given</u>:

The system of linear equations are x-y=4 and 3x-2y=-5

We need to determine the solution to the system of equations using substitution method.

<u>Solution</u>:

The solution can be determined using the substitution method.

Let us substitute x=4+y in the equation 3x-2y=-5

Thus, we have;

3(4+y)-2y=-5

12+3y-2y=-5

          12+y=-5

                  y=-17

Thus, the value of y is -17.

Substituting y=-17 in the equation x-y=4, we get;

x+17=4

       x=-13

Thus, the value of x is -13.

Hence, the solution to the system of equations is (-13,-17)

6 0
3 years ago
Write the standard form and word form for the decimal represented by 700+40+0.6+0.08+0.006. what is the relationship between the
eduard

In standard form, it is expressed as 7.407 * 10^2 while he relationship between the values of the two 6s is that 0.6 is to the nearest tenth and 0.006 is to nearest thousandth

<h3>Expressing decimals in standard form</h3>

The standard form of an equation is expressed as A * 10^n

where

A is any number between 1 and 10

n is any integer

Given the sum below;

700+40+0.6+0.08+0.006.

Take the sum of the expression

740 +0.6 + 0.08 + 0.006

740.686

In standard form, it is expressed as 7.407 * 10^2 while he relationship between the values of the two 6s is that 0.6 is to the nearest tenth and 0.006 is to nearest thousandth

Learn more on standard form here: brainly.com/question/525947

#SPJ1

6 0
1 year ago
A box of highlighters originally cost
Vanyuwa [196]

Answer:

hhhhjjff?ihd,uiufy?उग्फ्त्त्य्युउउउईईइय्त्ग्ग

3 0
3 years ago
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