Answer:
x>3
Step-by-step explanation:
Here are the original equations:
2x + 2y = 14
x + 2y = 11
We immediately note that these two equations form a system. So, we can use substitution to solve the second equation for x. To do this, all that needs to be done is to subtract 2y from both sides, to get x = 11 - 2y. Next, we substitute the derived expression for x into the first equation to get 2(11-2y) + 2y = 14. We can use the distribute property to get 22 - 4y + 2y = 14. Then, we can combine like terms to get 22 - 2y = 14. After that, we subtract 22 from both sides to get -2y = -8. Finally, we divide -2 from both sides to get y = 4.
Now that we have the value for y, we can substitute our derived value into the second equation, since it will be much faster. After doing this, we get x + 2(4) = 11. We can simplify the left side of the equation and subtract the product from both sides, which gives us x = 4. Therefore, the answer to your query is x = 4, y = 4. Hope this helps and happy Halloween!
Answer:
x = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
(7x - 1) + (13x - 19) = 180
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 20x - 20 = 180
- Isolate <em>x</em> term: 20x = 200
- Isolate <em>x</em>: x = 10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: (7(10) - 1) + (13(10) - 19) = 180
- Multiply: (70 - 1) + (130 - 19) = 180
- Subtract: 69 + 111 = 180
- Add: 180 = 180
Here we see that 180 does indeed equal 180.
∴ x = 10 is the solution to the equation.
Answer:
12.2
Step-by-step explanation:
BC = √ABsq + √CAsq
BC = √11.9sq + √2.7sq
BC = √141.6 + √7.3
BC = √148.9
BC = 12.2
Answer:
The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.
Step-by-step explanation:
