Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
(x1,y1)=(0,0)(x2,y2)=(6,6)
Evaluate
{xy=6x6x=y2
Solve the equation for x
More Steps
Evaluate
6x=y2
Divide both sides
66x=6y2
Divide the numbers
x=6y2
{xy=6xx=6y2
Substitute the given value of x into the equation xy=6x
6y2y=6×6y2
Simplify
More Steps
Evaluate
6y2y
Multiply the terms
6y2×y
Multiply the terms
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Evaluate
y2×y
Use the product rule an×am=an+m to simplify the expression
y2+1
Add the numbers
y3
6y3
6y3=6×6y2
Simplify
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Evaluate
6×6y2
Cancel out the common factor 6
1×y2
Multiply the terms
y2
6y3=y2
Cross multiply
y3=6y2
Move the expression to the left side
y3−6y2=0
Factor the expression
y2(y−6)=0
Separate the equation into 2 possible cases
y2=0∪y−6=0
The only way a power can be 0 is when the base equals 0
y=0∪y−6=0
Solve the equation
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Evaluate
y−6=0
Move the constant to the right-hand side and change its sign
y=0+6
Removing 0 doesn't change the value,so remove it from the expression
y=6
y=0∪y=6
Rearrange the terms
{x=6y2y=0∪{x=6y2y=6
Calculate
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Evaluate
{x=6y2y=0
Substitute the given value of y into the equation x=6y2
x=602
Calculate
x=0
Calculate
{x=0y=0
{x=0y=0∪{x=6y2y=6
Calculate
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Evaluate
{x=6y2y=6
Substitute the given value of y into the equation x=6y2
x=662
Calculate
x=6
Calculate
{x=6y=6
{x=0y=0∪{x=6y=6
Check the solution
More Steps
Check the solution
{0×0=6×06×0=02
Simplify
{0=00=0
Evaluate
true
{x=0y=0∪{x=6y=6
Check the solution
More Steps
Check the solution
{6×6=6×66×6=62
Simplify
{36=3636=36
Evaluate
true
{x=0y=0∪{x=6y=6
Solution
(x1,y1)=(0,0)(x2,y2)=(6,6)
Show Solution
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