7x+8
7x - 2 = 4x + 9 3x - 2 = 9 3x = 11 x = 11/3
3x+4-7x=5-4x+2 -4x+4=7-4x Adding 4x to each side yields: 4=7, which is not true, so there is no answer (a null set)
7x = 4x+2x+1xSo 7x/2 = 4x/2 + 2x/2 + x/2 (by the distributive property of division over addition) = 2x + x + x/2
-3x + 2 = -7x - 22 add 7x to both sides 4x + 2 = -22 subtract 2 from both sides 4x = -24 divide by 4 x = -6 ■
3x + (-2 + 4x) = -2 + 7x
4x+9 = 7x+3 4x-7x = 3-9 -3x = -6 x = 2
7x+8
7x - 2 = 4x + 9 3x - 2 = 9 3x = 11 x = 11/3
3x+4-7x=5-4x+2 -4x+4=7-4x Adding 4x to each side yields: 4=7, which is not true, so there is no answer (a null set)
(3x+2)-(5+7x) = 3x+2-5-7x = -4x-3 3x+2 is -4x-3 times greater than 5+7x.
7x = 4x+2x+1xSo 7x/2 = 4x/2 + 2x/2 + x/2 (by the distributive property of division over addition) = 2x + x + x/2
11x + 2 = 26 + 7x Subtract 7x from both sides: 4x + 2 = 26 Subtract 2 from both sides: 4x = 24 Divide both sides by 4: x = 6
-3x + 2 = -7x - 22 add 7x to both sides 4x + 2 = -22 subtract 2 from both sides 4x = -24 divide by 4 x = -6 ■
-3x + 2 = -7x - 22 add 7x to both sides 4x + 2 = -22 subtract 2 from both sides 4x = -24 divide by 4 x = -6
x+7x+3y-y =8x+2y =2(4x+y)
4x + y = 9 so that y = 9 - 4x 7x - 8y = 6 7x - 8*(9-4x) = 6 7x - 72 + 32x = 6 39x = 78 x = 2 Then y = 9 - 4x = 9-4*2 = 9-8 = 1