0.7 a-0.8 b=-0.1 a-1.4=-6(b-0.1) Consider the system of equations. If (a,b) is the solution to the system, then what is the value of the sum of a and b ? Choose 1 answer: (A) -0.5 (B) -0.1 (C) 0.1 (D) 0.5

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0.7 a-0.8 b=-0.1  a-1.4=-6(b-0.1) Consider the system of equations. If  (a,b) is the solution to the system, then what is the value of the sum of  a and  b ? Choose 1 answer: (A) -0.5 (B) -0.1 (C) 0.1 (D) 0.5

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Write System Equations: Write down the system of equations. 0.7a - 0.8b = -0.1 a - 1.4 = -6(b - 0.1)Simplify Second Equation: Simplify the second equation. a - 1.4 = -6b + 0.6 Add 1.4 to both sides to isolate a. a = -6b + 0.6 + 1.4 a = -6b + 2Substitute Expression for a: Substitute the expression for a from the second equation into the first equation. 0.7(-6b + 2) - 0.8b = -0.1Distribute and Combine Terms: Distribute 0.7 into the parentheses. -4.2b + 1.4 - 0.8b = -0.1Isolate Term with b: Combine like terms. -4.2b - 0.8b + 1.4 = -0.1 -5b + 1.4 = -0.1Solve for b: Subtract 1.4 from both sides to isolate the term with b. -5b = -0.1 - 1.4 -5b = -1.5Substitute b into Second Equation: Divide both sides by -5 to solve for b. b = (-1.5) / (-5) b = 0.3Find Sum of a and b: Substitute the value of b back into the simplified second equation to solve for a. a = -6(0.3) + 2 a = -1.8 + 2 a = 0.2Add the values of a and b to find the sum. a + b = 0.2 + 0.3 a + b = 0.5

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