-5
3
-4
y=2x-4 y=2x-5 y=1 1=2x-4 -2x = -5 x=2/5 the solution is (x,y) = (2/5,1)
y-2x=3 -y -y -2x=3-y -3 -3 -2x-3=-y /-1 /-1 2x+3=y y=2x and y=2x+3 have the same slope of 2, so they are parallel. Hope this helps! ;D
x = y = 3
To determine if an ordered pair ((x, y)) is a solution to the inequality (3y - 1 - 2x \geq 0), we can rearrange it to (3y \geq 2x + 1). For example, if we take the ordered pair ((1, 1)), we substitute (x = 1) and (y = 1): (3(1) \geq 2(1) + 1), which simplifies to (3 \geq 3). Since this is true, ((1, 1)) is a valid solution to the inequality.
The inequality ( y - 2 < 2(x - 1) ) can be rewritten as ( y < 2x - 2 + 2 ), simplifying to ( y < 2x ). This represents a region below the line ( y = 2x ) in a Cartesian plane. The line itself is not included in the solution, so it would be drawn as a dashed line. The area below this line, where ( y ) values are less than ( 2x ), indicates the solution set for the inequality.
y - 2x < 2
y - x - 3 is an expression, not an equation nor an inequality. It cannot, therefore, have a solution.
To determine an ordered pair that could be a solution to an inequality, you need to substitute the values of the ordered pair into the inequality and check if it satisfies the condition. For example, if the inequality is (y < 2x + 3) and the ordered pair is (1, 4), you would substitute (x = 1) and (y = 4) to see if (4 < 2(1) + 3) holds true. If it does, then (1, 4) is a solution; if not, you would need to try another pair.
-4
3
y=2x-4 y=2x-5 y=1 1=2x-4 -2x = -5 x=2/5 the solution is (x,y) = (2/5,1)
14
y-2x=3 -y -y -2x=3-y -3 -3 -2x-3=-y /-1 /-1 2x+3=y y=2x and y=2x+3 have the same slope of 2, so they are parallel. Hope this helps! ;D
It seems like there may be a typo in your question regarding the inequality, as "y x 4 3" is unclear. If you meant an inequality such as ( y < 4x + 3 ), any point that satisfies this condition would be part of the solution. For example, the point (1, 6) would satisfy ( 6 < 4(1) + 3 ), so it is part of the solution set. Please clarify the inequality for a more specific answer.
For example, if you have (0, 6) or (3, 1). Which of them is a solution to y - 2x = 6? Check (0, 6): y - 2x = 6, substitute 0 for x, and 6 for y into the equation 6 - 2(0) =? 6 6 - 0 =? 6 6 = 6 True, then (0, 6) is a solution. Check (3, 1): y - 2x = 6, substitute 3 for x, and 1 for y into the equation 1 - 2(3) =? 6 1 - 6 =? 6 -5 = 6 False, then (3, 1) is not a solution.