Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
x∈∅
Alternative Form
No solution
Evaluate
⎩⎨⎧x+73−43=x−125−83x−125−83=x−65x−65=195+x
Cancel equal terms on both sides of the expression
⎩⎨⎧73−43=−125−83x−125−83=x−65x−65=195+x
Calculate
More Steps
Evaluate
73−43=−125−83
Subtract the numbers
More Steps
Evaluate
73−43
Reduce fractions to a common denominator
7×43×4−4×73×7
Multiply the numbers
283×4−4×73×7
Multiply the numbers
283×4−283×7
Write all numerators above the common denominator
283×4−3×7
Multiply the numbers
2812−3×7
Multiply the numbers
2812−21
Subtract the numbers
28−9
Use b−a=−ba=−ba to rewrite the fraction
−289
−289=−125−83
Subtract the numbers
More Steps
Evaluate
−125−83
Reduce fractions to a common denominator
−12×25×2−8×33×3
Multiply the numbers
−245×2−8×33×3
Multiply the numbers
−245×2−243×3
Write all numerators above the common denominator
24−5×2−3×3
Multiply the numbers
24−10−3×3
Multiply the numbers
24−10−9
Subtract the numbers
24−19
Use b−a=−ba=−ba to rewrite the fraction
−2419
−289=−2419
Calculate
−0.321˙42857˙=−2419
Calculate
−0.321˙42857˙=−0.7916˙
The statement is false for any value of x
x∈∅
⎩⎨⎧x∈∅x−125−83=x−65x−65=195+x
Calculate
More Steps
Evaluate
x−125−83=x−65
Subtract the numbers
More Steps
Evaluate
−125−83
Reduce fractions to a common denominator
−12×25×2−8×33×3
Multiply the numbers
−245×2−8×33×3
Multiply the numbers
−245×2−243×3
Write all numerators above the common denominator
24−5×2−3×3
Multiply the numbers
24−10−3×3
Multiply the numbers
24−10−9
Subtract the numbers
24−19
Use b−a=−ba=−ba to rewrite the fraction
−2419
x−2419=x−65
Cancel equal terms on both sides of the expression
−2419=−65
Calculate
−0.7916˙=−65
Calculate
−0.7916˙=−0.83˙
The statement is false for any value of x
x∈∅
⎩⎨⎧x∈∅x∈∅x−65=195+x
Calculate
More Steps
Evaluate
x−65=195+x
Covert the mixed number to an improper fraction
More Steps
Evaluate
195
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
99+5
Add the terms
914
x−65=914+x
Cancel equal terms on both sides of the expression
−65=914
Calculate
−0.83˙=914
Calculate
−0.83˙=1.5˙
The statement is false for any value of x
x∈∅
⎩⎨⎧x∈∅x∈∅x∈∅
Solution
x∈∅
Alternative Form
No solution
Show Solution
