Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
Solve using the substitution method
Solve using the elimination method
(x1,y1)=(0,−7)(x2,y2)=(1,0)
Evaluate
{7x−y=77x2−y=7
Solve the equation for y
More Steps
Evaluate
7x−y=7
Move the expression to the right-hand side and change its sign
−y=7−7x
Change the signs on both sides of the equation
y=−7+7x
{y=−7+7x7x2−y=7
Substitute the given value of y into the equation 7x2−y=7
7x2−(−7+7x)=7
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
7x2+7−7x=7
Cancel equal terms on both sides of the expression
7x2−7x=0
Factor the expression
More Steps
Evaluate
7x2−7x
Rewrite the expression
7x×x−7x
Factor out 7x from the expression
7x(x−1)
7x(x−1)=0
When the product of factors equals 0,at least one factor is 0
7x=0x−1=0
Solve the equation for x
x=0x−1=0
Solve the equation for x
More Steps
Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=0x=1
Calculate
x=0∪x=1
Rearrange the terms
{x=0y=−7+7x∪{x=1y=−7+7x
Calculate
More Steps
Evaluate
{x=0y=−7+7x
Substitute the given value of x into the equation y=−7+7x
y=−7+7×0
Simplify the expression
y=−7
Calculate
{x=0y=−7
{x=0y=−7∪{x=1y=−7+7x
Calculate
More Steps
Evaluate
{x=1y=−7+7x
Substitute the given value of x into the equation y=−7+7x
y=−7+7×1
Simplify the expression
y=−7+7
Calculate
y=0
Calculate
{x=1y=0
{x=0y=−7∪{x=1y=0
Check the solution
More Steps
Check the solution
{7×0−(−7)=77×02−(−7)=7
Simplify
{7=77=7
Evaluate
true
{x=0y=−7∪{x=1y=0
Check the solution
More Steps
Check the solution
{7×1−0=77×12−0=7
Simplify
{7=77=7
Evaluate
true
{x=0y=−7∪{x=1y=0
Solution
(x1,y1)=(0,−7)(x2,y2)=(1,0)
Show Solution
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