Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
Solve using the substitution method
Solve using the elimination method
(w1,x1)=(0,0)(w2,x2)=(74,71)
Evaluate
{w=4x4x=7wx
Substitute the given value of w into the equation 4x=7wx
4x=7×4x×x
Simplify
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Evaluate
7×4x×x
Multiply the terms
28x×x
Multiply the terms
28x2
4x=28x2
Add or subtract both sides
4x−28x2=0
Factor the expression
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Evaluate
4x−28x2
Rewrite the expression
4x−4x×7x
Factor out 4x from the expression
4x(1−7x)
4x(1−7x)=0
When the product of factors equals 0,at least one factor is 0
4x=01−7x=0
Solve the equation for x
x=01−7x=0
Solve the equation for x
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Evaluate
1−7x=0
Move the constant to the right-hand side and change its sign
−7x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−7x=−1
Change the signs on both sides of the equation
7x=1
Divide both sides
77x=71
Divide the numbers
x=71
x=0x=71
Calculate
x=0∪x=71
Rearrange the terms
{w=4xx=0∪{w=4xx=71
Calculate
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Evaluate
{w=4xx=0
Substitute the given value of x into the equation w=4x
w=4×0
Calculate
w=0
Calculate
{w=0x=0
{w=0x=0∪{w=4xx=71
Calculate
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Evaluate
{w=4xx=71
Substitute the given value of x into the equation w=4x
w=4×71
Simplify the expression
w=4×7−1
Calculate
w=74
Calculate
{w=74x=71
{w=0x=0∪{w=74x=71
Check the solution
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Check the solution
{0=4×04×0=7×0×0
Simplify
{0=00=0
Evaluate
true
{w=0x=0∪{w=74x=71
Check the solution
More Steps
Check the solution
{74=4×714×71=7×74×71
Simplify
{0.5˙71428˙=0.5˙71428˙0.5˙71428˙=0.5˙71428˙
Evaluate
true
{w=0x=0∪{w=74x=71
Solution
(w1,x1)=(0,0)(w2,x2)=(74,71)
Show Solution
