Question

Use the numbers 0 through 9 to complete each equation so the statement about it's solution is true

One solution:
5-4+7x+1= (blank)x+ (blank)

Infinitely many solutions:
5-4+7x+1= (blank)x+ (blank)

Sorry if it's confusing. You basically fill in the blanks with numbers to match up with what the statement above it says about the solution of the equation.

Answer 1

For the first equation, to get an equation that only has 1 solution your two missing numbers could be 3x and 6. This is because when you solve it, you get 7x + 2 = 3x + 6
- 3x
4x + 2 = 6
- 2
4x = 4
x = 1

For the second equation, your two numbers could be 7x and 4, because it means that x has to be different as 7 multiplied by one number and added to 2 cannot equal 7 multiplied by the same number but added to 4.

I hope this helps!