Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
Solve using the substitution method
Solve using the elimination method
(x,y)=(81,72)
Alternative Form
(x,y)=(0.125,72)
Evaluate
{y=8xy8xy=72
Solve the equation
More Steps
Evaluate
y=8xy
Move the expression to the left side
y−8xy=0
Factor the expression
y(1−8x)=0
Separate the equation into 2 possible cases
y=0∪1−8x=0
Solve the equation
More Steps
Evaluate
1−8x=0
Move the constant to the right-hand side and change its sign
−8x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−8x=−1
Change the signs on both sides of the equation
8x=1
Divide both sides
88x=81
Divide the numbers
x=81
y=0∪x=81
Find the union
x=81∪y=0
{y=0∪x=818xy=72
Evaluate
{y=08xy=72∪{x=818xy=72
Calculate
More Steps
Evaluate
{y=08xy=72
Substitute the given value of y into the equation 8xy=72
8x×0=72
Any expression multiplied by 0 equals 0
0=72
Calculate
{x∈∅y∈∅
{x∈∅y∈∅∪{x=818xy=72
Calculate
More Steps
Evaluate
{x=818xy=72
Substitute the given value of x into the equation 8xy=72
8×81y=72
Multiply the terms
y=72
Calculate
{x=81y=72
{x∈∅y∈∅∪{x=81y=72
Rearrange the terms
{x=81y=72
Check the solution
More Steps
Check the solution
{72=8×81×728×81×72=72
Simplify
{72=7272=72
Evaluate
true
{x=81y=72
Solution
(x,y)=(81,72)
Alternative Form
(x,y)=(0.125,72)
Show Solution
Graph
