All categories

2 years ago

Solve for x and y:

Mathematics

1 answer:

boyakko [2]2 years ago

8 0

This is a system of equation:

7y - 5x = 31

x = 4 - 2y

Plug in 4 - 2y for x

7y - 5(4 - 2y) = 31

Distribute -5 to both 4 and -2y

7y - 20 + 10y = 31

Simplify

17y - 20 = 31

Isolate the y. Note the equal sign. What you do to one side you do to the other. Do the opposite of PEMDAS.

Add 20 to both sides

17y - 20 (+20) = 31 (+20)

17y = 51

Divide 17 from both sides to isolate the y

17y/17 = 51/17

y = 51/17 or 3

y = 3

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

Plug in 3 for y in one of the equations.

x=4−2y

x = 4 - 2(3)

Simplify.

x = 4 - 6

x = -2

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

x = -2, y = 3 is your answer, or B)

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

hope this helps

You might be interested in

The following data points represent the number of pumpkins at the pumpkin patch at witchton,kansas

strojnjashka [21]

Is there a picture? I cannot answer without a picture

4 0

2 years ago

V x² + 9 = x-3<br> links will be reported.

brilliants [131]

Answer:

x−12

x^2

Step-by-step explanation:

4 0

2 years ago

I will give u brianliest

Bond [772]

Answer:

1: $3$ × $2$

2: $y^6$

Step-by-step explanation:

Multiply the numbers: $y(^3^*^2)$

$3*2 = 6$

Write it without exponents:

$y * y * y * y *y *y$ so $6y$ .

$(y^3)^2$

Apply exponent rule : $(a^b)^c=a^b^c,$ assuming $a\geq 0$

$(y^3)^2=y^3^*^2$

$=y^3^*^2$

Multiply the numbers: $3 * 2 = 6$

$= y^6$

Hope I helped! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

6 0

2 years ago

Please put details! I need it!

Kay [80]

Answer:

a. the points will be in quadrants q and s

b. the difference between the coordinates of the starting point and the checkpoint is that the starting point is negative on the 5 axis while the checkpoint is positive. the number on the y axis for the staring point and the checkpoint is the same.

3 0

2 years ago

Which of the following is a secant on the circle below?

boyakko [2]

A. $\vec{KI}$ is the secant line on the below circle.

<u>Step-by-step explanation:</u>

The intersection of the circle will result in either Tangent or Secant. Secant is a line intersecting a circle at two different point. This concept explains the relation between the circle and line intersecting it.

From the given diagram,

The $\vec{GJ}$ and $\vec{GK}$ intersects the circle at the point H and I.

∴ It can also represented that the $\vec{JH}$ and $\vec{KI}$ intersects at a point G.

From the given options $\vec{KI}$ is the secant line that intersects the circle twice.

7 0

2 years ago