Maths-
SAT
Easy
Question
3x + 2y = 16
6x + 2y = 28
If the system of equations above has solution (x, y), what is the value of x + y?
The correct answer is: 6
3x + 2y = 16
6x + 2y = 28
Subtracting, we get
-3x = -12
x = 4
3x + 2y = 16
3(4) + 2y = 16
12 + 2y = 16
2y = 16 -12
2y = 4
y = 2
x + y = 4 + 2 = 6.
Related Questions to study
Maths-
The table above shows the distribution of color for the 4000 cars registered in Town X. Based on the table, how many more white cars than black cars are registered in Town X?
The table above shows the distribution of color for the 4000 cars registered in Town X. Based on the table, how many more white cars than black cars are registered in Town X?
Maths-SAT
Maths-
Hongbo sold x cell phones in 2013. The number of cell phones he sold in 2014 was 128% greater than in 2013, and the number of cell phones he sold in 2015 was 29% greater than in 2014. Which of the following expressions represents the number of cell phones Hongbo sold in 2015?
Hongbo sold x cell phones in 2013. The number of cell phones he sold in 2014 was 128% greater than in 2013, and the number of cell phones he sold in 2015 was 29% greater than in 2014. Which of the following expressions represents the number of cell phones Hongbo sold in 2015?
Maths-SAT
Maths-
The scatterplot above shows the maximum height h, in feet (ft), and maximum speed s, in miles per hour (mph), of 12 roller coasters as well as the line of best fit for the data. Of the following, which best represents an equation for the line of best fit?
The scatterplot above shows the maximum height h, in feet (ft), and maximum speed s, in miles per hour (mph), of 12 roller coasters as well as the line of best fit for the data. Of the following, which best represents an equation for the line of best fit?
Maths-SAT
Maths-
In the xy-plane above, line m is perpendicular to line l (not shown). Which of the following could be an equation of line l ?
In the xy-plane above, line m is perpendicular to line l (not shown). Which of the following could be an equation of line l ?
Maths-SAT
Maths-
In the xy-plane, the graph of a linear equation of the form y = mx + b and the graph of an exponential equation of the form y = abx both contain points (1, 3) and (2, 4). If the point (r, s) is on the graph of the linear equation and the point (r, t) is on the graph of the exponential equation, where 0 < r < 4 and s > t, which of the following must be true?
In the xy-plane, the graph of a linear equation of the form y = mx + b and the graph of an exponential equation of the form y = abx both contain points (1, 3) and (2, 4). If the point (r, s) is on the graph of the linear equation and the point (r, t) is on the graph of the exponential equation, where 0 < r < 4 and s > t, which of the following must be true?
Maths-SAT
Maths-
In the figure above, ACD is a right triangle and is parallel to . What is the perimeter of ACD to the nearest tenth of a unit?
In the figure above, ACD is a right triangle and is parallel to . What is the perimeter of ACD to the nearest tenth of a unit?
Maths-SAT
Maths-
The graph of the function f is shown in the xy-plane above. The function f is defined by the equation for positive constants a, b, and c, where is a fraction in lowest terms. Which of the following orders a, b, and c from least to greatest?
The graph of the function f is shown in the xy-plane above. The function f is defined by the equation for positive constants a, b, and c, where is a fraction in lowest terms. Which of the following orders a, b, and c from least to greatest?
Maths-SAT
Maths-
Kelly enlarged the area of a photograph to 250% of its original size. The original dimensions of the photograph were 5 inches by 7 inches. What is the area of the enlarged photograph, in square inches?
Kelly enlarged the area of a photograph to 250% of its original size. The original dimensions of the photograph were 5 inches by 7 inches. What is the area of the enlarged photograph, in square inches?
Maths-SAT
Maths-
If 4x2 +bx +9 = 0, where b is a constant, has exactly one solution, what is a possible value of b ?
If 4x2 +bx +9 = 0, where b is a constant, has exactly one solution, what is a possible value of b ?
Maths-SAT
Maths-
P = P0 + ρgh
The equation above gives the total pressure, P, on an object submerged in a fluid, where P0 is the pressure at the fluid’s surface, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth to which the object is submerged. What is h in terms of P, P0, ρ, and g ?
P = P0 + ρgh
The equation above gives the total pressure, P, on an object submerged in a fluid, where P0 is the pressure at the fluid’s surface, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth to which the object is submerged. What is h in terms of P, P0, ρ, and g ?
Maths-SAT
Maths-
What was the total distance that Shayla spent walking and running, in kilometers?
(Use 1 mile = 1.61 kilometers)
What was the total distance that Shayla spent walking and running, in kilometers?
(Use 1 mile = 1.61 kilometers)
Maths-SAT
Maths-
For gym class, Shayla completed a 4-mile walking and running exercise. She ran for 7t miles and she walked for miles, where t is the total amount of time, in hours, Shayla spent running. The equation models this situation.
What is the value of t in the equation that models this situation?
For gym class, Shayla completed a 4-mile walking and running exercise. She ran for 7t miles and she walked for miles, where t is the total amount of time, in hours, Shayla spent running. The equation models this situation.
What is the value of t in the equation that models this situation?
Maths-SAT
Maths-
A city with 120,000 residents is voting on a proposal that would eliminate overnight parking of vehicles on the city’s streets. An independent company randomly surveys 1,200 residents to see whether or not residents would support this proposal. The outcome of the survey shows that 60% of the residents surveyed approve of the proposal with a margin of error of 2%. Which of the following statements is a plausible conclusion from the outcome of the survey?
A city with 120,000 residents is voting on a proposal that would eliminate overnight parking of vehicles on the city’s streets. An independent company randomly surveys 1,200 residents to see whether or not residents would support this proposal. The outcome of the survey shows that 60% of the residents surveyed approve of the proposal with a margin of error of 2%. Which of the following statements is a plausible conclusion from the outcome of the survey?
Maths-SAT
Maths-
Which of the following equivalent forms of the function f (x)= 4x2 +4x−24 is the most suitable to indicate the x-coordinates of the x‑intercepts of the graph of y = f(x) in the xy‑plane?
Which of the following equivalent forms of the function f (x)= 4x2 +4x−24 is the most suitable to indicate the x-coordinates of the x‑intercepts of the graph of y = f(x) in the xy‑plane?
Maths-SAT
Maths-
If and z = 2x −3, which of the following is equivalent to y + yz ?
If and z = 2x −3, which of the following is equivalent to y + yz ?
Maths-SAT