Answer:No
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
Answer:
The length of the rectangle is 50 feet, while the width of the rectangle is 10 feet.
Step-by-step explanation:
Since the length of a rectangle is 5 times the width, to determine the length of the rectangle if the area is 500 square feet, the following calculation must be performed:
Area = Base x height
500 = X x 5X
500/5 = X x X
100 = X x X
100 = 10 x 10
X = 10
Thus, the length of the rectangle is 50 feet, while the width of the rectangle is 10 feet.
The ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)
<h3>How to type the ordered pairs?</h3>
The equation is given as:
y = 3^x
Let x = 0, 1 and 2
y = 3^0 = 1
y = 3^1 = 3
y = 3^2 = 9
So, we have the following ordered pairs (0,1), (1,3) and (2,9)
Hence, the ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)
Read more about exponential functions at:
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The others are either 160 and 70 or 70 and 70
