Answer:
(0, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y + 5x = 1
5y - x = 5
<u>Step 2: Rewrite Systems</u>
y + 5x = 1
- Subtract 5x on both sides: y = 1 - 5x
<u>Step 3: Redefine Systems</u>
y = 1 - 5x
5y - x = 5
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitution in <em>y</em>: 5(1 - 5x) - x = 5
- Distribute 5: 5 - 25x - x = 5
- Combine like terms: 5 - 26x = 5
- Isolate <em>x</em> term: -26x = 0
- Isolate <em>x</em>: x = 0
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 5y - x = 5
- Substitute in <em>x</em>: 5y - 0 = 5
- Subtract: 5y = 5
- Isolate <em>y</em>: y = 1
the 2 angles are congruent so...
x+40=3x set the 2 equations equal to each other
40=2x subtract x from both sides
20=x divide by 2
x=20 is the final answer
Have a blessed day!
Answer:
<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>
Step-by-step explanation:
The ratio of pine trees to elm trees in a park is 7:11
Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.
It is also given that, there are 68 more elm trees as compared to the pine trees.
i.e
Hence, the number of pine tree = and the number of elm tree =
"C not sure look it up" waist of time headed self z.z.Z
Answer:
?? = 900
Step-by-step explanation:
Solve algebraically
let x be ball and y be cube
x + y = 100
x - y = 80
xy = ??
We can solve by elimination. Eliminate one of the variables by adding OR subtracting the entire equations. I will add.
. x + y = 100
<u>+ x - y = 80</u> y + - y = y - y = 0; The variable is eliminated
. 2x = 180 Divide both sides by 2 to isolate x
. x = 90
Substitute x = 90 into one of the equations.
x + y = 100
90 + y = 100 Isolate y by subtracting 90 from both sides
y = 100 - 90
y = 10
Find xy = ?? by substituting y for 10 and x for 90.
xy = (90)(10) = 900
Therefore the value of ?? is 900.