Question

Consider the equation a(3 - x) = - 2x + b. What values of a and b make the solution of the equation x =-2? Write a number from the box onto each blank to complete the answer.

Answer 1

a=1, b=1

Explanation:

Given the equation:
`a(3 - x) = - 2x + b`

If the solution of the equation
`x=-2`

Then to find the values of a and b, we substitute
`x=-2` into the equation.

`a(3 - x) = - 2x + b\\a(3 - (-2)) = - 2(-2) + b\\a(3+2)=4+b\\5a=4+b\\5a-b=4\\$If we make the substitution a=1, b=1 into the above equation\\5(1)-1=4 is true.\\Therefore: a=1, b=1`