MATHEMATICS HIGH SCHOOL

4x-6=x+9
Solve the equation show all steps

Answers

Answer 1

Answer:

Answer:

x= 5

Step-by-step explanation:

4x-6=x+9

Move the -6 to the other side of the equation by adding 6 to each side.

4x-6 + 6 =x+9 + 6

4x = x+15

Now move the x on the right side of the equation to the left side of the equation by subtracting x from each side.

4x - x = x + 15 - x

3x = 15

Now to isolate the x, divide both sides of the equation by 3.

3x/3 = 15/3

x = 5

Check your answer by substituting x = 5 into the original equation:

4x-6=x+9

4(5) - 6 = 5 + 9

20 - 6 = 14

14 = 14 >>> so this answer, x=5, is correct.

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On a backpacking trip through Europe, Ethan bought snacks for 10 Swiss francs. If the foreign exchange rate between the U.S. dollar and Swiss franc is 1:2, how much did Ethan spend in dollars?
Solve the equation: 7x = 42. A. x = – 7B. x = – 6C. x = 6D. x = 7
I know that y=20 and x=50 but will someone explain how to get them. Thanks!
See picture for question and answer options! thank you.

[21+3(9)]/6+9

I need help

Answers

Answer:

the answer =7/6

=1.1666666667

50/8 converted as a mixed number

Answers

50/8

Simply divide 8 into 50. That is 6. Because 8 *6 = 48.

There would be a remainder of 2.

So 50/8 = 6 whole number 2/8.

So the answer = 6 whole number 2/8. As mixed fraction.

You can reduce the 2/8 to 1/4.

So 6 whole number 1/4 is also correct.

6 1/4 because do 50÷8=6 (remainder: 2)

So it is 6 2/8. Simplify it and it will be 6 1/4.

What can you conclude ?? Need answer soon

Answers

It is B
You can conclude that M and L are parallel.
I hope this helped

What is 1.8r+9=-5.7r-6

Answers

You could do:
1 subtract 9 on both sides of the equation, 1.8r=-5.7r-15
2 then add 5.7r on both sides as well, 7.5r=15
3 divide 7.5 on each side, r=2.

Add 6 to booth sides.

1.8r+15=5.7r
Subtract 1.8 from both sides
15=3.9r
Divide 15 by 3.9
3.8=r

If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .

Answers

Answer:

$(-√(65) - 3 )/(4), (√(65) + 3)/(4)$

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: $x = (-b +/-√(b^2 - 4ac) )/(2a)$

Plug in a for 2, b for 3, and c for -7 and you should find your roots.

Match the terms to their definition. 1. consistent equations the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system 2. equivalent equations the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system 3. inconsistent equations equations having a common solution in a system 4. linear inequality equations having no common solutions in a system 5. substitute replace a quantity with its equal 6. system determinant equations having all common solutions 7. x-determinant an open sentence of the form Ax By C < 0 or Ax By C > 0 8. y-determinant the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system

Answers

Answer:

1-----3

2-----6

3------4

4------7

5-------5

6-------8

7--------1

8--------2

step-by-step explanation:

consistent equation: equations having a common solution in a system.

Equivalent equation: equations having all common solutions.

Inconsistent equations: equations having no common solutions in a system

Linear inequality: an open sentence of the form Ax+By+C < 0 or Ax+By+C > 0.

substitute: replace a quantity with its equal.

system determinant: the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system.

x-determinant: the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system.

y-determinant: the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system.

Final answer:

The terms are matched with their respective definitions, providing clarity about equations, linear inequality, substitution, and determinants in the context of a system of linear equations.

Explanation:

Let's go ahead and match these terms to their correct definitions:

Consistent equations are equations having a common solution in a system.
Equivalent equations refer to equations having all common solutions.
Inconsistent equations are equations having no common solutions in a system.
Linear inequality is an open sentence of the form Ax + By < C or Ax + By > C.
To Substitute means to replace a quantity with its equal.
System determinant for this instance, since specific definition is not provided, could be considered as a determinant that serves as a pivotal element in the solution of system of linear equations.
X-determinant is the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system.
Y-determinant is the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system.