Answer:
x=−8
y=6=
Step-by-step explanation:
3x+4y=0
5x−3y=−58
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
3x+4y=0,5x−3y=−58
To make 3x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 3.
5×3x+5×4y=0,3×5x+3(−3)y=3(−58)
Simplify.
15x+20y=0,15x−9y=−174
Subtract 15x−9y=−174 from 15x+20y=0 by subtracting like terms on each side of the equal sign.
15x−15x+20y+9y=174
Add 15x to −15x. Terms 15x and −15x cancel out, leaving an equation with only one variable that can be solved.
20y+9y=174
Add 20y to 9y.
29y=174
Divide both sides by 29.
y=6
Substitute 6 for y in 5x−3y=−58. Because the resulting equation contains only one variable, you can solve for x directly.
5x−3×6=−58
Multiply −3 times 6.
5x−18=−58
Add 18 to both sides of the equation.
5x=−40
Divide both sides by 5.
x=−8
The system is now solved.
x=−8,y=6
Coordinates are: (-8,6)
Graph:
Answer:
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.
Step-by-step explanation:
Given the quadrilateral with the four vertices.
- Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite sides are congruent or not.
- It is clear that the given quadrilateral has opposite sides congruent.
Therefore, the given quadrilateral represents Parallelogram.
Hence,
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.
Answer:
this is distributive property.
Step-by-step explanation:
a(c+b)=ac+ab
To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
<span> {(3,4)(5,8),(9,-4),(-2,1),(0,8)}
2. Therefore,by definition, you have that the range is the set of all the values of y given. Keeping this on mind, you have that the range is:
Range:{4,8,-4,1,8}
Therefore, as you can see, the answer is: </span>Range:{4,8,-4,1,8}.
Answer:
82 large pillows, 68 small pillows
Step-by-step explanation:
Suppose all pillows sold were small pillows:
150×$6.50=$975
$1180-$975=$205
$9-$6.50=$2.50
$205÷$2.50=82 (no of large pillows sold)
No. of small pillows sold
=150-82
=68
