Q. Is (76) a solution to the equation 7x−8=−5 ? Why or why not?
Substitute Value into Equation: Substitute the value (6)/(7) into the equation 7x−8=−5.Calculation: 7×(6)/(7)−8.Math error check:
Simplify Multiplication: Simplify the multiplication 7×76.Calculation: (7×6)/7=6, because the 7 in the numerator and denominator cancel each other out.Math error check:
Continue Simplification: Continue the simplification by subtracting 8 from 6.Calculation: 6−8=−2.Math error check:
Compare Results: Compare the result from Step 3 with the right side of the original equation.Calculation: −2 is not equal to −5.Math error check:
Check Solution: Determine if (6)/(7) is a solution to the equation by checking if the left side equals the right side after the substitution.Calculation: Since −2=−5, (6)/(7) is not a solution to the equation 7x−8=−5.Math error check:
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