Question

Match the description of the one variable equation with the number of solutions it will have.

ax+c1=bx+c2
(3 points)
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The number of x's on both sides of the equation is different a≠b
The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2
The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2

Answer 1

2x−5=3(4x+5)
Step 1:
Property to get


Step 2:
Property to get

Step 3:
Property to get

Step 4:
Property to get

Answer 2

Solving the inequality for x, which statement shows a good first step and which is the correct solution?

x−6<x4
(2 points)
Responses

Divide both sides of the inequality by 4 to simplify: x4−32<x


Divide both sides of the inequality by 4 to simplify: x4−32<x

Multiply both sides by 4 to clear the inequality of fractions: 4x−24<x


Multiply both sides by 4 to clear the inequality of fractions: 4x−24<x

Divide both sides of the inequality by x to simplify: 1−6x<4
x<6


Divide both sides of the inequality by x to simplify: 1−6x<4
x<6

Multiply both sides by x to get the "x" terms on the same side of the inequality: x−6<4