Answer:
x = -7/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<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>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.
Answer:
x=2, y=0. (2, 0).
Step-by-step explanation:
x-y=2
2.5x+y=5
---------------
x=y+2
2.5(y+2)+y=5
2.5y+5+y=5
3.5y=5-5
3.5y=0
y=0/3.5
y=0
x=0+2=2
I know how to help you, but I need the story attached for me to help.
I'm not 100% sure but I think It's 7.6
Answer :
98°
Step by step explanation :
As we can see in figure,
∠F = 53°
∠H = 45°
So,
[Angle sum property, which states that the sum of all the angles of a triangle is 180°]
=> ∠FGH + 45° + 53° = 180°
=> ∠FGH = 180° - 98°
=> 
Now,
∠x + ∠FGH = 180°
[linear pair]
=> ∠x = 180° - 82°
=> 
<h2><u>Alternative Method :</u></h2>
We know that sum of two opposite interior angles is equal to the exterior angle.
So
∠x = ∠GHF + ∠HFG.
=> ∠x = 45 ° + 53°
=>
Hope this helps!
