3x - 2y + 7x + 4y = 3x + 7x - 2y +4y = (3+7)x + (-2+4)y = 10x + 2y
5x - 3y -7x + 2y +3x = (5-7+3)x + (-3+2)y = x - y
3y - 3 = 2y + 5 3y - 2y = 5 + 3 y = 8
7x + y + 3 = y7x + 3 = 07x = -3x = -3/7
3x + 2y + 5 - 3 = 3x + 2y + 2 No further simplification is possible. This is an expression, not an equation so there cannot be a solution.
-7x - 2y = -3
The standard form is 7x + 2y - 3 = 0
3x - 2y + 7x + 4y = 3x + 7x - 2y +4y = (3+7)x + (-2+4)y = 10x + 2y
(14x-2y)+(7x-3y)+(-3x) = 14x-2y+7x-3y-3x =(14+7-3)x-(2+3)y =18x-5y
Subtract by 7x and divide by 2.
5x - 3y -7x + 2y +3x = (5-7+3)x + (-3+2)y = x - y
x+7x+3y-y =8x+2y =2(4x+y)
Double first equation: 10x + 2y = 10Subtract second equation: 7x = 7x = 1, y = 0
5x+2x-3y+y = (5+2)x+(-3+1)y = 7x - 2y
4x + 2y = 12 3x - 2y = 9 Have to use simultaneous equations, so add together to get : 7x = 21 so x = 3 Put it into any part of the equation 4x3 + 2y = 12 12 + 2y = 12 2y = 0 y = 0, x = 3
4x-2y = 6 -7x+2y = -15 Add both equations together in order to eliminate y: -3x = -9 Divide both sides by -3 in order to find the value of x: x = 3 Substitute the value of x into the original equations to find the value of y: Solution: x = 3 and y = 3
- 7x + (9x - 3) = - 7x + 9x - 3 = 2x - 3