Combine like terms: -2x - 4y + 5x - 7y = 3x - 11y -2x + 5x = 3x -4y + -7y = -11y
3x + 7y
5x + 4y = 204y = -5x + 20y = (-5/4)x + 5
In math evaluating is where you simplify an expression as much as possible. For example to evaluate 5+2 you simplify it so it is 7. To evaluate 5x+3x+4y you simplify it to 8x+4y.
5x-4y+9y+x-9+7 = 5x + x - 4y + 9y - 9 + 7 = 6x + 5y - 2 ■
Combine like terms: -2x - 4y + 5x - 7y = 3x - 11y -2x + 5x = 3x -4y + -7y = -11y
5x - 4y ≥ -203x - 2y ≤ -8y ≥ -3
Simultaneous equations.
41
3x + 7y
Let's simplify this together, friend. First, we add the terms with 'x' together: 2x - 5x = -3x. Then, we add the terms with 'y' together: 4y + 3y = 7y. So, the expression simplifies to -3x + 7y. Remember, there are no mistakes, just happy little accidents in math!
The answer is -5x + 2y. The terms with the same variable are combined by adding or subtracting their coefficients, and then the result is written with the corresponding variable. In this case, -3x and -2x combine to give -5x, and 4y and -2y combine to give 2y.
2x + 3y = 17 3x + 4y = 24 (2x + 3x) + (3y + 4y) = (17 + 24) 5x + 7y = 41
Simply take the first equation and substitute it for y in the second one. We're told: y = -3x + 5 and: 5x - 4y = -3 So we can say: 5x - 4(-3x + 5) = -3 5x + 12x - 20 = -3 17x = 17 x = 1 Then plug that value into one of our original equations to solve for y: y = -3x + 5 y = -3(1) + 5 y = 5 - 3 y = 2 So the two equations intersect at the point (1, 2).
Add the equations: 8x - y = 8 ie 8x - 8 = y so 5x - 5(8x - 8) = -30 which is 5x - 40x + 40 = -30 ie -35x = -70 making x = 2 and y = 8.
x = -5/3 y = -4/3
3x + 4y = 5x - 2y = 5leads to:x = 5 + 2ySo:3(5 + 2y) + 4y = 515 + 10y = 510y= -10y=-1and therefore if y = -1 then x = 3.