Question
Solve the system of equations
(x,y)=(57,725)
Alternative Form
(x,y)=(1.4,3.5˙71428˙)
Evaluate
{xy=5x2y=7
Solve the equation for x
More Steps

Evaluate
xy=5
Evaluate
yx=5
Divide both sides
yyx=y5
Divide the numbers
x=y5
{x=y5x2y=7
Substitute the given value of x into the equation x2y=7
(y5)2y=7
Simplify
More Steps

Evaluate
(y5)2y
Rewrite the expression
y225×y
Reduce the fraction
y25×1
Any expression multiplied by 1 remains the same
y25
y25=7
Cross multiply
25=y×7
Simplify the equation
25=7y
Swap the sides of the equation
7y=25
Divide both sides
77y=725
Divide the numbers
y=725
Substitute the given value of y into the equation x=y5
x=7255
Calculate
x=57
Calculate
{x=57y=725
Check the solution
More Steps

Check the solution
{57×725=5(57)2×725=7
Simplify
{5=57=7
Evaluate
true
{x=57y=725
Solution
(x,y)=(57,725)
Alternative Form
(x,y)=(1.4,3.5˙71428˙)
Show Solution
