Answer:
x = -7
, y = 5 thus D)
Step-by-step explanation:
Solve the following system:
{4 x - 4 y = -48 | (equation 1)
5 x - 6 y = -65 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 6 y = -65 | (equation 1)
4 x - 4 y = -48 | (equation 2)
Subtract 4/5 × (equation 1) from equation 2:
{5 x - 6 y = -65 | (equation 1)
0 x+(4 y)/5 = 4 | (equation 2)
Multiply equation 2 by 5/4:
{5 x - 6 y = -65 | (equation 1)
0 x+y = 5 | (equation 2)
Add 6 × (equation 2) to equation 1:
{5 x+0 y = -35 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -7 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -7
, y = 5
Answer:
k = 4
Step-by-step explanation:
Rearrange so that like terms are on either side of the equation
4k - 2k - 2k + 2k = 5 + 3
Simplify
2k = 8
Divide both sides by two to make k on its own
k = 4
You are correct, well done!
Answer:
+ 2
Step-by-step explanation:
x | y
0 | -4
1 | -2
2 | 0
You are adding 2 to y every time you have a new x.
Answer:
3.54>0.354
Step-by-step explanation:
2.80 is greater than 2.68 not less.
0.257 is greater than 0.1574 not less.
9.04 is less than 9.4 not greater.
The only correct answer is 3.54>0.354 because the 3 in 3.54 is greater than the 0 in 0.354.
Answer:
x = 29/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x - (2x - 13) = 42
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute negative: 8x - 2x + 13 = 42
- [Subtraction] Combine like terms: 6x + 13 = 42
- [Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29
- [Division Property of Equality] Divide 6 on both sides: x = 29/6
<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>: 8(29/6) - [2(29/6) - 13] = 42
- Multiply: 116/3 - [29/3 - 13] = 42
- [Brackets] Subtract: 116/3 - -10/3 = 42
- Subtract: 42 = 42
Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
