Question
Solve the system of equations
Solve using the substitution method
Solve using the elimination method
(x,y)∈∅
Alternative Form
No solution
Evaluate
{xy=15120x×80y15120x×80y=1480
Calculate
{xy=1209600xy15120x×80y=1480
Calculate
{xy=1209600xy1209600xy=1480
Solve the equation
More Steps

Evaluate
xy=1209600xy
Move the expression to the left side
xy−1209600xy=0
Subtract the terms
More Steps

Evaluate
xy−1209600xy
Collect like terms by calculating the sum or difference of their coefficients
(1−1209600)xy
Subtract the numbers
−1209599xy
−1209599xy=0
Evaluate
xy=0
Separate the equation into 2 possible cases
x=0∪y=0
{x=0∪y=01209600xy=1480
Evaluate
{x=01209600xy=1480∪{y=01209600xy=1480
Calculate
More Steps

Evaluate
{x=01209600xy=1480
Substitute the given value of x into the equation 1209600xy=1480
1209600×0×y=1480
Any expression multiplied by 0 equals 0
0=1480
Calculate
{x∈∅y∈∅
{x∈∅y∈∅∪{y=01209600xy=1480
Calculate
More Steps

Evaluate
{y=01209600xy=1480
Substitute the given value of y into the equation 1209600xy=1480
1209600x×0=1480
Any expression multiplied by 0 equals 0
0=1480
Calculate
{x∈∅y∈∅
{x∈∅y∈∅∪{x∈∅y∈∅
Rearrange the terms
{x∈∅y∈∅
Solution
(x,y)∈∅
Alternative Form
No solution
Show Solution
