All categories

3 years ago

Please help with steps??? Question: Find the solution for a system of equations by elimination

Mathematics

1 answer:

Margaret [11]3 years ago

8 0

Answer:

x = -84, y = -58

Step-by-step explanation:

2x - 3y = 6 --- Equation 1

Equation 1×5: 10x - 15y = 30 --- Equation 2

5x + 7y = -14 --- Equation 3

Equation 3×2: 10x + 14y = -28 --- Equation 4

I will eliminate 10x.

Equation 4-2:

10x - 15y - 10x + 14y = 30-(-28)

-y = 30+28

= 58

y = -58

Substitute y =-58 into Equation 1.

2x - 3y = 6

2x - 3(-58) = 6

2x - (-174) = 6

2x + 174 = 6

Find 2x.

2x = 6-174

= -168

Find x.

x = -168 ÷ 2

x = -84

You might be interested in

Are these two triangles similar?

mixas84 [53]

Answer:

Step-by-step explanation:

3.6 + 3.6 is not 9 & 2.84 + 2.84 is not 7.1

7 0

3 years ago

Read 2 more answers

❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️

tiny-mole [99]

Answer:

$x=\frac{\sqrt{14} }{2}$

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures $45^o$ . Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

$(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}$

We use just the positive root, since we are looking for an actual length. then, the requested side is:

$x=\frac{\sqrt{14} }{2}$

6 0

3 years ago

The sum of three consecutive numbers is 51. What are the three numbers

bixtya [17]

Answer: 16,17,18

Step-by-step explanation: 16,17,18 are consecutive numbers and when you add them up the equal 51

6 0

3 years ago

The price of a technology stock was $9.74 yesterday. Today, the price fell to $9.67. Find the percentage decrease. Round your an

agasfer [191]

% change = (new value - old value)/(old value) * 100%
.. = (9.67 -9.74)/9.74 * 100%
.. = -0.07/9.74 * 100%
.. = -0.7%

The decrease is 0.7%.

5 0

3 years ago

Solve the inequality and graph the solution on the line provided.

jeka57 [31]

i hope this helps you......

3 0

3 years ago

Read 2 more answers