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

Answer:

a=1, b=1

Step-by-step 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.

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