Match the equation with its solution.
3i+2i−4=18i
3(2i−7)=6i−21
2i+3=2i−5
1) 3i+2i−4=18i - No solution
2) 3(2i−7)=6i−21 - i = −6
3) 2i+3=2i−5 - No solution
Match the equation with its solution.
3i+2i−4=18i
3(2i−7)=6i−21
2i+3=2i−5
1) 3i+2i−4=18i - No solution
2) 3(2i−7)=6i−21 - i = −6
3) 2i+3=2i−5 - No solution
Which equation has the SAME FIRST STEP to solve as this equation: 2x+12−3x=27?
(1 point)
Responses
4x−17+2x=9
4 x minus 17 plus 2 x is equal to 9
2x+12=27
2 x plus 12 is equal to 27
2(x−5)+2x=10
2 times open paren x minus 5 close paren plus 2 x is equal to 10
2x+12=−3x−27
The equation that has the same first step to solve as 2x+12−3x=27 is 2x+12=27.
Using the Distributive Property as a good first step to solving the equation 7(5x+2)=−4(6−5x)
, you could simplify this equation to get which of these choices? (1 point)
Responses
35x+2=24−20x
35 x plus 2 is equal to 24 minus 20 x
35x+14=−24+20x
35 x plus 14 is equal to negative 24 plus 20 x
35x+10=−24+20x
35 x plus 10 is equal to negative 24 plus 20 x
5x+14=6+20x
5 x plus 14 is equal to 6 plus 20 x
35x+2=−24−5x
Using the Distributive Property, the equation 7(5x+2)=−4(6−5x) simplifies to 35x+14=−24+20x.
For the equation 2(x−5)=9−3x+6+8+3x+7
, the left side of the equation can be simplified by using the Distributive Property, and the right side of the equation can be simplified by combining like terms.
Simplify the left side of the equation:
Simplify the right side of the equation:
Simplifying the left side of the equation using the Distributive Property:
2(x-5) = 2 * x + 2 * (-5) = 2x - 10
Simplifying the right side of the equation by combining like terms:
9 - 3x + 6 + 8 + 3x + 7 = (9 + 6 + 8 + 7) + (-3x + 3x) = 30 + 0 = 30
So the simplified equation is:
2x - 10 = 30
2(x−5)=9−3x+6+8+3x+7
Simplify the left side of the equation: