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Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo’s equation is missing, as shown below.

Leonardo wrote an equation that has an infinite number of solutions. One of the terms-example-1
User Sheryl
by
6.9k points

2 Answers

5 votes

Answer:
3x

Explanation:

Let be "z" the missing term:


-(x-1)+5=2(x+3)-z

For the system to have infinite number of solutions,
2(x+3)-z must be equal to
-(x-1)+5.

Now you must solve for "z". Apply Distributive property:


-x+1+5=2x+6-z

Add the like terms on the left side:


-x+6=2x+6-z

Now you need to subtract
2x and 6 from both sides of the equation and finally you can multiply both sides by -1. Then:


-x+6-2x-6=2x+6-z-2x-6\\\\(-1)-3x=-z(-1)\\\\z=3x

User Rajput
by
7.0k points
1 vote

Answer:

3x

Explanation:

-(x-1) +5 = 2(x+3) - c

C is the unknown term

Distribute the negative sign and the 2

-x+1 +5 = 2x+6 -c

Combine like terms

-x+6 = 2x +6-c

Solve for c

Add x to each side

-x+x +6 = 2x+x +6-c

6 = 3x+6 -c

Add c to each side

6+c = 3x +6 -c+c

c+6 = 3x+6

Subtract 6 from each side

c+6-6 = 3x+6-6

c = 3x

When c = 3x, the two sides of the equation are equal, and the solutions are infinite.

User Hendrik Marx
by
7.3k points