Answer:
(9,4)
Step-by-step explanation:
The given system is:
9x + 3y = 93
3x - 4y = 11
Multiply the bottom equation by 3 to get:
9x + 3y = 93
9x - 12y = 33
Subtract bottom equation from top one to get:
3y--12y=93-33
We put y-value into the bottom equation:
If the area is 90 square units. Then the dimension of the rectangle will be 5 units and 18 units.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
The width of a rectangle is 13 units less than the length.
If the area is 90 square units.
W = L – 13
Then we have
90 = L(L – 13)
L² – 13L – 90 = 0
L² – 18L + 5L – 90 = 0
L(L – 18) + 5(L – 18) = 0
(L – 18)(L + 5) = 0
L = -5, 18
Then the width will be
W = 18 – 13
W = 5 units
Then the dimension of the rectangle will be 5 units and 18 units.
More about the area of the rectangle link is given below.
brainly.com/question/20693059
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1. 6 2. 275
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Answer:
x=5 y=-1
Step-by-step explanation:
y=-5x+24
y=4x-21
Since both equations are equal to y, we can set them equal to each other
-5x+24=4x-21
Add 5x to each side
-5x+5x+24=4x+5x-21
24 = 9x-21
Add 21 to each side
24+21 = 9x-21+21
45 = 9x
Divide by 9
45/9 = 9x/9
5 =x
Now we need to find y
y = 4x-21
y =4(5) -21
y =20-21
y =-1
