Answer:
[2] x = -5y - 4
// Plug this in for variable x in equation [1]
[1] 2•(-5y-4) - 5y = 22
[1] - 15y = 30
// Solve equation [1] for the variable y
[1] 15y = - 30
[1] y = - 2
// By now we know this much :
x = -5y-4
y = -2
// Use the y value to solve for x
x = -5(-2)-4 = 6
Solution :
{x,y} = {6,-2}
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Terms and Topics
Linear Equations with Two Unknowns
Solving Linear Equations by Substitution
Related Links
Algebra - Linear Systems with Two Variables
Step-by-step explanation:
Answer:
Step 3 contains error.
Step-by-step explanation:
The given equation is :
Step 1.
Cross multiplying,
Step 2.
Subtract 9 from both sides
Step 3.
Cross multiplying
So, there is an error in step 3. The correct answer should be 45.
Answer:
The angle that will be congruent to angle 4 is :
Angle 1
Step-by-step explanation:
It is given that:
angle 4 and angle 5 are complements.
Also, angle 1 and angle 5 are complements.
Congruent complementary Theorem--
It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.
Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.
Answer:
1.80 dollars per kilogram of candy.
Step-by-step explanation:
How to get this is simple and you will use it later in life, you take the price of the candy you paid for, then you divide it by the amount in pounds, or kilograms, to get the price per pound.
2.25 / 1.25 = 1.80
Cheers!
First way of finding area is the usual formula.
Area of a rectangle = Length × Breadth
= 3x × x
= 3x^2
Second way of finding area of the bigger rectangle is adding both the rectangles' areas and subtracting by the area of the smaller rectangle.
Area of smaller rectangle:
Length × Breadth = 2 × x
= 2x
Area of bigger rectangle + Area of smaller rectangle = 3x^2 + 2x
Subtracting it by the area of the smaller rectangle:
3x^2 + 2x - 2x = 3x^2
