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0.7a−0.8bamp;=−0.1 a−1.4amp;=−6(b−0.1)\begin{aligned} 0.7 a - 0.8b &= -0.1\ a - 1.4 &= -6(b - 0.1) \end{aligned}

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Q. 0.7a−0.8b=−0.1 a−1.4=−6(b−0.1)\begin{aligned} 0.7 a - 0.8b &= -0.1\ a - 1.4 &= -6(b - 0.1) \end{aligned}
  1. Write Equations: First, let's write down the system of equations we need to solve:\newline\begin{aligned}\newline00.77a - 00.88b &= −0-0.11 (\newline\) a - 11.44 &= −6-6(b - 00.11)\newline\end{aligned}
  2. Simplify Second Equation: We will start by simplifying the second equation. Distribute the −6-6 on the right side of the equation:\newlinea−1.4=−6b+0.6a - 1.4 = -6b + 0.6
  3. Isolate Variable aa: Next, we add 1.41.4 to both sides of the second equation to isolate aa:a=−6b+0.6+1.4a = -6b + 0.6 + 1.4
  4. Substitute into First Equation: Now, we simplify the right side of the equation by combining like terms: a=−6b+2a = -6b + 2
  5. Distribute 00.77: We can now substitute the expression for aa from the second equation into the first equation: 0.7(−6b+2)−0.8b=−0.10.7(-6b + 2) - 0.8b = -0.1
  6. Combine Like Terms: Distribute the 0.70.7 into the parentheses: −4.2b+1.4−0.8b=−0.1-4.2b + 1.4 - 0.8b = -0.1
  7. Correct Combination of Terms: Combine like terms by adding the coefficients of bb:−4.2b−0.8b=−1.4−0.1-4.2b - 0.8b = -1.4 - 0.1
  8. Correct Combination of Terms: Combine like terms by adding the coefficients of bb:−4.2b−0.8b=−1.4−0.1-4.2b - 0.8b = -1.4 - 0.1The correct combination of like terms should be:−4.2b−0.8b=−5b-4.2b - 0.8b = -5b1.4−0.1=1.31.4 - 0.1 = 1.3So the equation should be:−5b=−1.3-5b = -1.3

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