x+7x+3y-y =8x+2y =2(4x+y)
3x+7x+3+y= 10x+3+y
You can get it to vertex form by completing the square: y = x2 + 7x + 4 ∴ y = x2 + 7x + (7/2)2 - (7/2)2 + 4 ∴ y = (x + 7/2)2 - 49/4 + 16/4 ∴ y = (x + 7/2)2 - 33/4
2y + 7x + y-1?
The given expression can be simplified to: 7x+4y
x+7x+3y-y =8x+2y =2(4x+y)
3x+7x+3+y= 10x+3+y
7x + y = 4y = 4 - 7x
7x + y = 8 Subtract 7x from each side of the equation: y = -7x + 8
You can get it to vertex form by completing the square: y = x2 + 7x + 4 ∴ y = x2 + 7x + (7/2)2 - (7/2)2 + 4 ∴ y = (x + 7/2)2 - 49/4 + 16/4 ∴ y = (x + 7/2)2 - 33/4
2y + 7x + y-1?
7x + y + z = 6 7x + y + 4z = 9 y + x = 6 Take the first two statements and subtract them. 7x + y + z = 6 7x + y + 4z = 9 _____________ 0 + 0 - 3z = -3 Therefore: z = 1 Then you are left with: 7x + y + 1 = 6 7x + y + 4 = 9 which is impossible, so this is an impossible equation.
5x - 3y -7x + 2y +3x = (5-7+3)x + (-3+2)y = x - y
The Y intercept of y=7x+10 is 10.
7x+y=6
The given expression can be simplified to: 7x+4y
If: y = 3x+4 and y = 2-7x Then: 3x+4 = 2-7x So: 3x+7x = 2-4 => 10x = -2 => x = -1/5 By substitution: y = 17/5 Solution: x = -1/5 and y = 17/5