1). Since you have -2y and 4y, elimination is easy to do for solving for x..
Keep the first equation and multiply the second equation by 2. Then add.
5x - 2y = -1
8x + 4y = 56
10x - 4y = -2
8x + 4y = 56
-----------------
18x = 54
x = 3
Now we can use substitution to solve for y.
Substitute 3 for x in the first original equation and solve for y.
5x - 2y = -1
5(3) - 2y = -1
15 - 2y = -1
-2y = -16
y = 8
(3, 8)
2.)
3x - y = =16
-4x - y = 21
Multiply both sides of the first equation by -1 to change all signs. Then when you add the equations, you eliminate y and solve for x.
-3x + y = 16
-4x - y = 21
-----------------
-7x = 37
x = -37/7
Now multiply the first original equation by 4 and the second original by 3 to eliminate x and solve for y.
12x - 4y = -64
-12x - 3y = 63
---------------------
-7y = -1
y = 1/7
Solution: (-37/7, 1/7)
Answer:
1
Step-by-step explanation:
It has only 1 line, which is the line that passes through the midpoints of the upper and lower horizontal sides.
Answer:
Step-by-step explanation:
Formula for area of a triangle:
Height x Base /2
Base (b) = h +4
Height = h
h + 4 x h /2 = 30cm
=> h +4 x h = 60
=> h+4h =60
=> 5h = 60
=> h = 12
Height = 12
Base = 12 +4 = 16
Answer:
<u>The volume of this figure is approximately 418.88 centimeters squared!</u>
Step-by-step explanation:
The volume for a right circular cone is V = (π)(r^2)(h/3)
Substituting known values is as follows:
V = (π)(r^2)(h/3)
V = (π)(4^2)(25/3)
V = (π)(16)(25/3)
<u>V ≈ 418.88 cm^3</u>
7/10 is 17th term of sequence a₁₆ = 1/5, d= 1/2.
Given the 16th term and the common difference, we add the common difference from the 16th term to determine the 17th term:
a₁₇ = a₁₆ + d
= 1/5 + 1/2
= 7/10
<h3>How to solve an equation?</h3>
To solve linear equations, utilize the steps that are provided below.
- Remove parentheses from each side of the equation and combine similar terms to make it simpler.
- To separate the variable term on one side of the equation, use addition or subtraction.
- To find the variable, use division or multiplication.
- The common denominator can be multiplied by each side of the equation to eliminate fractions.
Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
Learn more about linear equations
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