What is the x-coordinate of the solution to the system of equations 3x-2y=-30 6x+3y=3
1 answer:
Answer:
The x-coordinate of the solution is -4.
Step-by-step explanation:
The given system of equations have two equation.
........ (1)
...... (2)
Use elimination method to solve the equation (1) and (2).
Multiply equation (1) by 3.
..... (3)
Multiply equation (2) by 2.
.....(4)
Add equation (3) and (4).
Divide both sides by 21.
Put this value in equation 1.
The solution of the system of equations is (-4,9). Therefore the x-coordinate of the solution is -4.
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Slope of the line = .
y-intercept of the line = -7.
Solution:
General form of equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
Equation of a line:
To compare this with general equation.
Slope of the line = .
y-intercept of the line = -7.
Part A:
Derrick is incorrect.
A yard is equivalent to 3 feet.
Thus, 20 yards will be equivalent to 60 feet.
The width is 20 yard and 2 feet. It's the same as 60 feet and 2 feet, or 62 feet. Thus, Derrick is incorrect.
Part B:
Let's calculate the area of the parking lot.
We know the width is 62 feet from part A.
The length is 30 yards, or 90 feet.
Multiply the length and width to get the area in square feet.
The parking lot has an area of 5580 square foot.
It costs 2 dollars per square foot to repave the parking lot. Multiply the area by 2 dollars.
It will cost $11,160 to repave the whole parking lot.
Derrick is incorrect.
A yard is equivalent to 3 feet.
Thus, 20 yards will be equivalent to 60 feet.
The width is 20 yard and 2 feet. It's the same as 60 feet and 2 feet, or 62 feet. Thus, Derrick is incorrect.
Part B:
Let's calculate the area of the parking lot.
We know the width is 62 feet from part A.
The length is 30 yards, or 90 feet.
Multiply the length and width to get the area in square feet.
The parking lot has an area of 5580 square foot.
It costs 2 dollars per square foot to repave the parking lot. Multiply the area by 2 dollars.
It will cost $11,160 to repave the whole parking lot.