Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
Solve using the substitution method
Solve using the elimination method
(a,d)=(18,1)
Evaluate
{a=dada=18
Solve the equation
More Steps
Evaluate
a=da
Move the expression to the left side
a−da=0
Factor the expression
a(1−d)=0
Separate the equation into 2 possible cases
a=0∪1−d=0
Solve the equation
More Steps
Evaluate
1−d=0
Move the constant to the right-hand side and change its sign
−d=0−1
Removing 0 doesn't change the value,so remove it from the expression
−d=−1
Change the signs on both sides of the equation
d=1
a=0∪d=1
{a=0∪d=1da=18
Evaluate
{a=0da=18∪{d=1da=18
Calculate
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Evaluate
{a=0da=18
Substitute the given value of a into the equation da=18
d×0=18
Any expression multiplied by 0 equals 0
0=18
Calculate
{a∈∅d∈∅
{a∈∅d∈∅∪{d=1da=18
Calculate
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Evaluate
{d=1da=18
Substitute the given value of d into the equation da=18
1×a=18
Any expression multiplied by 1 remains the same
a=18
Calculate
{a=18d=1
{a∈∅d∈∅∪{a=18d=1
Rearrange the terms
{a=18d=1
Check the solution
More Steps
Check the solution
{18=1×181×18=18
Simplify
{18=1818=18
Evaluate
true
{a=18d=1
Solution
(a,d)=(18,1)
Show Solution
