Answer:
Explanation:
You want to know the values of 'a' and 'b' in the equation ...
2(a -6x) +b(5x -1) = 2(4x +5)
Simplify
Using the distributive property to eliminate parentheses we have ...
2a -12x +5bx -b = 8x +10
Subtracting the right side from both sides gives ...
-12x +5bx -8x +2a -b -10 = 0
(-20 +5b)x +(2a -b -10) = 0
Coefficients
Equating coefficients gives us equations in 'a' and 'b':
-20 +5b = 0 ⇒ b = 20/5 = 4 . . . . . . coefficient of x
2a -b -10 = 0 ⇒ 2a -4 -10 = 0 ⇒ a = 14/2 = 7 . . . . . . constant term
The equation with the right numbers in the boxes is ...
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